Problem 3: Six objects are released from rest at the same point on a ramp at a h

Question

Problem 3: Six objects are released from rest at the same point on a ramp at a height of 2 meters from the bottom. The objects are moving exactly vertically when they are launched from the ramp at the same point. All of the ramps are the same shape. All of the spheres roll without slipping, and the blocks slide without friction. The shapes and masses of the objects are given in the drawing for each case. Rank the maximum height of the objects after they become airborne at point T. (For convienence IcoM for a solid sphere = 2/5MR. hollou, sphere = 2/3MR2) A m=1kg B m=2kg C m=1kg Hollow sphere Hollow sphere Solid sphere D ,n = 2 kg E ,n = 2 kg F m= 1kg Block Block Solid sphere

Explanation / Answer

So for the object with higher rotational energy the height obtained will be lesser, as the part of energy will be stored as rotational.

Hence the heighest will be E =F

then Solid sphere , then hollow sphere. in decending order of mass

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