Question

In the figure, a uniform sphere of mass m=12 kg and radius r= 4.2 cm is held in place by a massless rope attached to a frictionless wall a distance L= 45 cm above the center of the sphere. Find the pushing force on the sphere from the wall. L Select one:

Answer 1

Tolo 10 T L OC 2 Given! mass M = 12 kg radius, &= 4.2cm L - 45cm Find pushing Force from wall .- LE krong on balancing the components of Tension! 0 TLOSE = mg t sino - F on dividing 2) b1 0: F tano nog - F = ng tano 12 X 9.8 X tano = 12x9.8 X r [ tan alt (F' is pushing fone Base a - 493.92 = 10.976N Fone = 12x9.8 X 4.2x10 45x10-2 Hence, pushing force from wall is 10.976N
On balancing the components of Tension and equating with its weight and Force exerted by wall.on solving found F=mg tan($\Theta$) ,where tan($\Theta$) is given by Perpendicular/Base which is r/L.so,force will be ,F=mgr/L.

After all calculation,force exerted by wall or pushing force from wall is 10.976N