What is the final velocity of a hoop that rolls without slipping down a 5.00-m-high hill, starting from rest?

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Ankit LalLv10

26 Mar 2021

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A hoop of mass m and radius r starts from rest and rolls down an incline at an angle θ. The hoop’s inertia is given by I = mr². The static friction coefficient is μs. Determine the acceleration of the center of mass and the angular acceleration α. Assume that the hoop rolls without bouncing or slipping. Use two approaches to solve the problem: (a) Use the moment equation about the mass center G and (b) use the moment equation about the contact point P.(c) Obtain the frictional condition required for the hoop to roll without slipping.

lavenderbat941

A solid disk and hoop are simultaneously released from rest at the top of an incline and rolls down without slipping. Which object reaches the bottom first?

a. The one with the largest mass arrives first.

b. The one with the largest radius arrives first.

c. The hoop arrives first.

d. The disk arrives first.

e. The hoop and the disk arrives at the same time.