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solve this with fully explaination please! An object of mass M, radius R, and sh

ID: 2112276 • Letter: S

Question

solve this with fully explaination please!

An object of mass M, radius R, and shape gamma is on the ramp shown in Fig. 2 a height h above the ground. When released from rest, the object will roll without slipping under the influence of gravity, g, down the ramp. Give all answers in terms of the given variables (M, R, gamma, h, g, and phi [parts d and c]) as necessary. Find the total energy of the object before it is released. [6 pt] Find the rotational speed, omega , of the object at the bottom of the ramp (h = 0). [8 pt] Find the linear speed, v, of the object as it launches off the ramp at a height hf. [5 pt] . If the launch angle is phi, find the maximum height the object will reach as it undergoes projectile motion. [7 pt] Find the maximum height if phi = 90 degree. [4 pt]

Explanation / Answer

(a) Mgh

(b)Mgh =1/2*Mw^2*R^2

w= root(2gh)/R

(c)Mgh-Mgh(f)=1/2 * Mv^2

v= root(2( gh-gh(f)))