Question

In: Physics

A solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls...

A solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls without slipping a distance L = 6.0 m down a roof that is inclined at angle  = 30o . a. What is the linear speed and the angular speed of the cylinder about its center as it leaves the roof? b. The roof’s edge is at height H = 5.0 m. How far horizontally from the roof’s edge does the cylinder hit the level ground?

Expert Solution

a) Let the total kinetic energy of the cylinder at the point where the cylinder leaves the roof is K_E.

Let the angular speedof the cylinder is .

Let the linear speed of the cylinder is v.

[Here h is the height of the starting point of the motion of the cylinder and the point where the cylinder leaves the roof]

b) The linear speed of the cylinder

Now ,

[Time is always positive]

Let the horizontal component of the velocity v at the point where cylinder leaves the roof is v_x.

Horizontal distance from the roof edge where the cylinder hit the ground is

The cylinder hit the ground far from the ground level edge of the roof .

genius_generous answered 4 months ago

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