A uniform sphere of radius R and mass M is held at rest on an inclined plane of

Question

A uniform sphere of radius R and mass M is held at rest on an inclined plane of angle ? by a horizontal string, as shown in the figure below. Let R = 23 cm, M = 2.4 kg, and ? = 31 degrees.

A uniform sphere of radius R and mass M is held at rest on an inclined plane of angle ? by a horizontal string, as shown in the figure below. Let R = 23 cm, M = 2.4 kg, and ? = 31 degrees. Find the tension in the string. What is the normal force exerted on the sphere by the inclined plane? What is the frictional force acting on the sphere?

Explanation / Answer

a) Tcos31*2R = m*g*sin31*R

T = 7.0661N

b) N = M*g*cos31+Tsin31 = 23.7999 N

c) M*g*sin31 = f+T*cos31

f = Mg*sin31-T*cos31 = 6.0569 N

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