Three objects, a hollow cylinder, a spherical shell and a solid cylinder are giv

Question

Three objects, a hollow cylinder, a spherical shell and a solid cylinder are given the same initial speed up a no-slip incline. Rank from highst to least high, the maximum height they reach. A. Hollow Cylinder, Spherical Shell, Solid Cylinder B. Spherical Shell, Solid Cylinder, Hollow Cylinder C. Solid Cylinder, Hollow Cylinder, Spherical Shell D. Spherical Shell, Hollow Cylinder, Solid Cylinder E. Solid Cylinder, Spherical Shell, Hollow Cylinder A rolling object is moving on a no slip surface, assuming the moment of inertia is 5.00 times 10^-2 kgm^2 the radius is 10.0cm and the mass is 5.00kg, find the minimum speed it must have to roll over an obstacle of height 5.00m. A. 9.90 m/s B. 4.95 m/s C. 3.50 m/s D. 2.50 m/s E. 7.00 m/s In the previous question, the shape of the object is most likely a A. A solid cylinder B. A solid sphere C. A hollow cylinder D. A spherical shell E. A disk

Explanation / Answer

3) 1/2mv^2 +1/2iw^2 = mgh

1/2mv^2(1+c) = mgh

h = (1+c)v^2/2g

for hallow cylinder c = 1

h = v^2/g

for shell c = 1

h = v^2/g

for solide cylinder c = 1/2

h = 3v^2/4g

solid cylinder,shell = hallow cylinder

4) 1/2mv^2+1/2iw^2 = mgh

1/2mv^2+1/2iv^2/r^2 = mgh

v^2(m+i/r^2) = 2mgh

v^2 = 49

v = 7 m/s

it is hallow cylinder or shell

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