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ASTR 100

  • A2-13: ELLIPSE DRAWING BOARD

    A2-13
    Demonstrate one method of drawing ellipses
    The ends of a string loop are hooked around two pegs on the board and kept tight by the chalk holder. Moving the string around one complete turn produces an ellipse. This procedure creates the locus of points where R1 + R2 = Constant, the equation for an ellipse. Changing the peg position changes the eccentricity of the ellipse.

    Consider inviting students to make predictions about how the shape of the ellipse will change in response to changing the foci in different ways. This can be related to a variety of mathematical and astronomical phenomena.

    FS2
  • C2-22 MONKEY AND HUNTER

    C2-22
    Demonstrate the independence of horizontal and vertical components of motion
    A physical example of a classic textbook illustration, this demonstration shows the independence of the components of motion and the equal acceleration of bodies due to gravity.

    The launcher is aimed at the monkey and shot. As the projectile leaves the muzzle of the gun it breaks a circuit producing the magnetic field which holds the monkey in place. The monkey then begins to fall at the same time the projectile is fired directly at the monkey. Due to independence of horizontal and vertical components of motion, the projectile will strike the monkey.

    Note that the angle can be varied to show different horizontal and vertical components.

    FS1
  • C3-02 INERTIA - TABLE CLOTH TRICK

    C3-02
    Dramatically demonstrate inertia
    The table setting rests on a silk tablecloth. Rapidly yanking the tablecloth out from under the setting pieces leaves the table setting unchanged.
    C3
  • C3-04: INERTIA - LEAD BRICK AND HAND

    C3-04
    Illustrates inertia of rest

    Place the lead brick gently on your fingers and strike the lead brick sharply with the hammer. The inertia of the lead brick prevents damage to your fingers.

    Engagement Suggestion
    • This is a visually impressive way to get students’ attention at the beginning of a discussion of inertia.
    • This can be used as a volunteer participation demonstration, but please be very careful.

    C3
  • C3-05 INERTIA - PEN IN BOTTLE

    C3-05
    Dramatically demonstrate inertia

    A large-tip felt pen is balanced on a 12" embroidery hoop, which in turn is balanced on a wide-mouth bottle. Yanking the hoop out from under the pen (by striking inside the leading side horizontally) allows the pen to fall straight downward into the bottle. Note that this does take a bit of practice; try it out before class.
    Engagement Suggestion:
    Ask your students: • Why does it matter if the hoop moves up or down while you are moving it?
    • Does it make a difference if you grab the hoop from the outside or the inside?
    Background:

    Newton’s First Law of Motion states that an object’s velocity is constant unless there is a net force acting on it. What this means is that if an object is not moving (at rest), it will not start moving until there is a force pushing or pulling on it. If an object is moving at a constant speed and direction, it will keep going with that same speed and direction unless a force pushes or pulls on it to change that. When the pen is sitting on top of the hoop, the force of gravity is pulling it down, but the normal force of the hoop is exactly equal to the gravitational force and holds it up. If another force suddenly affects the pen (such as if you walk up and tap on its side, or jiggle the hoop up and down), that force could cause it to move, and probably fall.

    But if the hoop is snatched sideways quickly and smoothly, it does not give any force to the pen. Now the only force acting on the pen is gravity, and the pen falls straight down into the bottle.

    C3
  • C3-12 PENCIL AND PLYWOOD

    C3-12
    Dramatically demonstrate inertia

    A pencil is accelerated to almost the speed of sound by blasting it through a four-foot tube using a carbon dioxide fire extinguisher. The pencil will readily impale itself through a piece of 3/8" plywood. With a little bit of luck the pencil point will be virtually intact, although sometimes you need to re-sharpen it after the demonstration.

    CAUTION: Be sure that the hose fitting is securely attached to the tube and that the plastic shield is in place before firing. The shield should be latched in place, with no debris blocking its edge from meeting the baseplate

    Engagement Suggestions
    • • Before using, encourage your students to predict what will happen to the pencil.
    • • For advanced students, discuss the energy involved in the problem and where the kinetic energy of the pencil went after the collision.
      • Background

        This demonstration can be presented in multiple ways. It has been offered classically as an illustration of the principle of inertia – the pencil is in motion at a high velocity, and continues in motion despite the intervening wood until arrested by a greater force. Alternatively, consider the high velocity and high momentum of the pencil. The abrupt deceleration at the plywood means a high impulse. The pointed pencil has a very small cross-sectional area, resulting in force applied over a small area leading to a high momentary pressure.

        Linked below is a slow-motion video of the collision, shot at 600 frames per second. A fun class activity could be to use the video to measure the motion of the pencil and estimate its momentum and kinetic energy, based on what you see in the video and by measuring typical lengths and masses for wooden pencils.

    FS1
  • C4-33 FREE FALL IN VACUUM - FEATHER AND BALL

    C4-33
    Demonstrate that bodies that fall with unequal accelerations in air fall with the same acceleration in the absence of air.
    The ball falls faster than the feather with air in the tubes. When the air is pumped out, the ball and the feather fall with the same acceleration. The double tube assembly is rotated rapidly on its axis to initiate the free fall.
    FS1
  • C4-34: GALILEO'S EXPERIMENT - MASSES IN FREE FALL

    C4-34
    Show that the acceleration of bodies in free fall is independent of mass
    Light and heavy balls are weighed using the spring scale. When they are dropped simultaneously from a height of about ten feet, they accelerate downward at the same rate (the acceleration of gravity) and reach the floor at the same time. A wooden board acts as a sound board to amplify the sound when they reach the floor.
    C4, OS0
  • C4-52 WEIGHTLESSNESS IN FREE FALL - MASS IN CUP ON POLE

    C4-52
    Illustrate apparent weightlessness in free fall
    A mass hangs from a spring over the edge of a cup. Raise the pole vertically and release. Because the mass becomes weightless in free fall, the ball will be pulled into the cup immediately when the system begins to fall.
  • C5-13 WATER ROCKET

    C5-13
    Demonstrate Newton's third law of motion
    Air is compressed in the rocket by means of the pump; when the air is released, the rocket rises by a small amount. If a small amount of water is poured into the air compartment from the squeeze bottle pictured at the right and air compressed in the rocket to the same pressure as before, the rocket will rise very high when released. Due to its greater mass, the water exhaust has more momentum than the air; thus more reaction force is applied to the rocket by the exhausting water.
    C5
  • C5-14 ROCKET TRIKE

    C5-14
    Demonstrate Newton's third law of motion

    Pressing the fire extinguisher handle expels carbon dioxide out a nozzle straight behind the tricycle, causing forward thrust of the tricycle. Be sure the exhaust is not oriented to hit the audience or anything else likely to be adversely affected but a sudden blast of cold air.
    Background
    This is a dramatic illustration of Newton's Third Law of Motion: the principle of action and reaction. The mass of gas being ejected out of the back of the tricycle at a very high velocity imparts an equal and opposite force to the tricycle, which thus moves forward. The tricycle is much more massive, so it does not move as quickly, but the acceleration is still very real - be careful not to run into the wall!
    FS1
  • C5-19: ACTION AND REACTION - INSTRUCTOR AND CART

    C5-19
    Demonstrate action-reaction pairs in a dramatic way
    The instructor jumps off the cart and the cart moves in the opposite direction. The mass of the cart can be decreased by removing some of the lead bricks, but if the cart is too light it can become dangerous. Please be careful.
    FS1
  • C8-01: GIANT PENDULUM

    C8-01
    Demonstrates conservation of energy
    The instructor backs up against the ladder/plywood backdrop, holds the pendulum bob up to his or her chin, and releases it. Because of conservation of energy the bob will swing across the stage and return to its original position adjacent to the instructor's chin, but without hitting his or her chin. Despite the wariness of the students, the pendulum bob cannot rise to a height greater than its original height, and the instructor is safe. Demo requires a minimum of 24 hours notice to prepare mounting cable. E-mail Lecture-Demonstration the day before to ensure that cable is ready.
    C8, OS11
  • D1-55: ROTATING ELASTIC RINGS

    D1-55
    Demonstrate "centrifugal reaction" and to indicate why the earth is oblate.

    We have a pair of thin steel rings mounted on a rotating base. The top of the rings is free to slide along its axis, while the bottom is fixed to the rotating base.

    Turning the crank causes the elastic rings to rotate about the vertical axis. The rotation mechanism here uses the mechanical advantage of a large cranked wheel driving a smaller pulley to give the rotating rings a very high angular velocity.

    Engagement Suggestion
    Before rotating at high speed, invite students to predict what will happen to the rings when you get it spinning as fast as you can. Will they:
    • a) keep their circular shape
    • b) flatten at the top and bottom and bulge in the middle
    • or c) extend upwards and grow narrower in the middle?
    Afterwards, encourage students to relate this to other physical phenomena.
    Background
    As the rings rotate, their form distorts, growing wider around the center and flattening at the top and bottom. Interestingly, this is not due to a true outward force acting on the metal at this point, but is an artifact of its rotating reference frame and the forces acting to keep it moving in a circle. This is often termed a centrifugal reaction or centrifugal force, though it is technically a pseudo-force arising from the reference frame.

    This effect is seen in astronomy and geography, as rotating planets, stars, and other bodies take on similarly oblate spheroidal forms.

    D1
  • D3-01 MASSES SLIDING ON ROTATING CROSSARM

    D3-01
    Illustrates conservation of angular momentum
    Two masses which can slide along a crossarm can be moved to smaller radii by pulling on the chain hanging down through the center of the apparatus. With the masses at the largest radius, start the system rotating. Pulling the chain pulls the masses inward, reducing the moment of inertia and causing the system to rotate with a greater angular velocity. Conversely, slowly releasing the chain increases the moment of inertia and thus reduces the angular velocity.
    D3
  • D3-02: MASS ON STRING - ORBITS WITH VARYING RADIUS

    D3-02
    Illustrates conservation of angular momentum
    Rotate the mass on the string with the central end of the string passing through the tubular metal collar. Pulling the string decreases the radius of the ball, thus decreasing the moment of inertia and increasing the angular speed of the ball.
    D3
  • D3-03 ROTATING CHAIR AND WEIGHTS

    D3-03
    Illustrates conservation of angular momentum

    A subject, holding the weights with their arms extended, is started into rotation. When the weights are pulled inward to the chest of the subject, the moment of inertia of the system is decreased, leading to significant increase in the angular speed of the rotating chair.

    Please take care when using this device, especially when accelerating. You can gain a significant increase in rotational speed, so hold on! And it is best not to have a person push the chair around very much, as it is very easy to hit them with a weight by accident.

    Engagement Suggestions
    • Consider inviting a participant from the class.
    • Encourage students to predict what will happen before performing the demonstration.
    • Once the demonstration has been performed, discuss the activity both in terms of angular momentum and its conservation, and in terms of kinetic energy.
    • For extended discussion, introduce the idea of friction. How does friction work in this system? How does it affect the angular momentum? Where does the kinetic energy go?
    Background
    This device illustrates the conservation of angular momentum. When the heavy weights are moved closer to or farther from the axis of rotation, the distribution of mass and thus the rotational inertia (or moment of inertia) changes.

    To show this in a different way, a single user with a single weight can move themself in a circle by swinging their arm wide holding the weight from front to back, then drawing it inwards before extending their arm forwards again and repeating the motion. This is essentially a rotational analogue of pumping a swing.

    FS0
  • D3-05 ROTATING CHAIR AND BICYCLE WHEEL

    D3-05
    Illustrates conservation of angular momentum

    Sit on the chair (chair not rotating) with the wheel spinning and its axis oriented vertically. Reverse the angular momentum vector of the wheel by inverting the wheel, thus causing the entire chair to rotate in the original direction of the wheel rotation. Returning the wheel to its initial orientation causes the chair to cease its rotation.

    Because the friction in the bearing of the rotating chair is very low, several cycles of this procedure can usually be completed before the system loses its energy and stops.

    Engagement Suggestions
    • Consider inviting a participant from the class.
    • Note that this demonstration can lead to sudden changes in motion. Be careful not to collide with your volunteer.

    FS0

    Bicycle Wheel Gyro v2

  • D5-13: FOCAULT PENDULUM - MODEL

    D5-13
    Model the Foucault pendulum
    The circular base can be rotated while the pendulum oscillates in a fixed plane in the frame of reference of the laboratory, thus showing the apparent rotation of the plane of the pendulum when viewed in the frame of reference of its base.
    D5, OS10
  • E1-11: POTENTIAL WELL -MODEL

    E1-11
    Demonstrates motion of planets or satellites in an inverse square gravitational field

    Giving a small ball a tangential velocity near the outer radius of the well, one can create elliptical orbits which demonstrate conservation of angular momentum as the ball rolls around the well.

    Invite students to predict how changing the ball’s starting velocity (in magnitude or direction) will affect its path. This is a good opportunity for one or more student volunteers to participate.

    Background

    The surface of this “potential well" is shaped so as to model an inverse square gravitational force. When a ball enters the well enters the well, it is attracted to the center; if it has no initial velocity, it will fall directly to the center. But if it enters with some velocity tangential to the center, it will fall into an elliptical orbit that gradually decays to the center as the ball rolls around the well.

    When you roll the ball across the surface, you use some initial force to start it moving. Once it is rolling on its own, though, the only forces acting on it are the force of gravity, pulling downwards, and the normal force and frictional force of the surface holding it up. So the ball accelerates as it rolls down the surface, exchanging potential energy for kinetic energy, until it falls into the hole.

    FS1, E1