Question

Group Activity: Ball rolling down ramp and off cliff As shown in the figure below, a hollow ball with a mass m 5.00 kg and radius r -30.0cm starts from rest and rolls a distance of 1.2 m down a 30° ramp, before reaching a flat section at the bottom of the ramp. The ball then rolls along the flat section for 1.0 m before rolling off a 2.5 m-high cliff. The ball lands a distance d from the bottom of the cliff. 1) Use energy conservation to find the linear velocity (COM velocity) of the ball when it reaches the flat section at the bottom of the ramp. 2) Use Newton's 2nd law to find linear (COM) and angular accelerations of the ball while it is rolling on the inclined ramp. 3) Find the static friction force exerted by the ramp on the ball. 4) Find the net torque on the ball while the ball (a) rolls on incline, (b) rolls on the flat segment, (c) flies through the air. Give brief explanations to justify your answers 5) Find angular momentum of the ball when it reaches the flat section at the bottom of the ramp (point A in the figure). o) What is the angular velocity of the ball, just before it lands. 7) What s the COM velocity of the ball, just before it lands. 30° 2.5 m You may ask the TA questions, but you may not consult any books or notes. You may write the group solution an the front and back of this work sheet or on a separate sheet of paper (one per group) On your group sbmission you must show the work which leads you to the answers. The activity will be graded based on totality of your wrimn explanations and equations; just writing the answers will not be enough for full points. hollow ball-_mr trans al U-mgh For rolling: VoOM-rω aCOM-rα

Answer 1

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