This question is a short free-response question. Show your work for each part of the question. A ramp of height he is placed on top of a table that has an edge that is a distance Ho above the ground. A student places a hoop of rotational inertia In, mass mo, and radius ro at the top of the ramp, as shown at right. The hoop is released from rest and is allowed to freely roll down the ramp. After it is released from rest, the hoop rolls down the ramp, launches horizontally off the edge of the table. and lands a horizontal distance D from the edge of the table. The situation is repeated, but the hoop is replaced with a solid disk of moment of inertia In > Id , mass mo, and radius ro, as shown below. (a) The figure below represents the hoop as it travels along the ramp. Draw a force diagram that shows and labels the forces (not components) exerted on the hoop. To clearly indicate at which point on the hoop each force is exerted, draw each force as a distinct arrow starting on, and pointing away from, the point at which the force is exerted. Note: Draw the relative lengths of all arrows to reflect the relative magnitudes of all the forces. O no Free Response Question, unit 7 (b) In a clear, coherent paragraph-length response that may also contain figures and/or equations, predict which object, the hoop or the solid disk, if either, will travel a greater horizontal distance after each object is released from rest, rolls down the ramp. | and is launched horizontally off the edge of the table. In your response, discuss the la physical aspects of the hoop and disk that are similar and different, and how those differences affect the horizontal distance traveled. ho Ho Ho

Problem 1. Answer each of following five multiple choice or short answer questions. Each questions will be scored out of 4 points. Be sure to show your work and explain your thought process; partial credit will be awarded for correct work even if your final answer is wrong. Part (a) Give an example in which a small force exerts a large torque. Give another example in which a large force exerts a small torque. Part (b) A solid sphere of mass M and radius R is rolling without slipping up a ramp. Which of the following statements are true? There may be more than one correct answer; circle all true statements. (a) The sphere's angular velocity vector points in the same direction as its angular acceleration vector. (b) There exists a force of static friction that points in the same direction as the sphere's linear velocity vector. (c) The sphere's net force points up the ramp. (d) The free body diagram for the sphere is the same as that for a sphere rolling without slipping down a ramp.…

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