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phere of mass 2 kgm and radius o 3 m is roling on s grourt Whot themnt of of sph

ID: 1582591 • Letter: P

Question

phere of mass 2 kgm and radius o 3 m is roling on s grourt Whot themnt of of sphere? If a torque of 0.2 Nm is opposing the motion of solid sphere due tos frietion, wist acceleration acting on the solld sphere to stop it 74) 15. A truck-trailer of mass s0000 kgm is moving with an acceleration of 2.5 m/s the coofficient of fretion between tyres and road is 0.35. What is the force exerted by engine of truck in the forward direction ( 16, a) A mass 'm' is rotated horizontally with a string of length 1.2 metre with a veleety of 5 m/s The tension in the string is 50 N. Find the value of mass 'm'? (2) b) A force of 100 N is applied to door handle to open the door. The door handle is at a distance of 1.5 metre from hinges of door (means axis of rotation). Find the maximum torque acting on the door handle to open the door (a)

Explanation / Answer


14) Moment of inertia of solid sphere is I = (2/5)*M*R^2 = (2/5)*2*0.3^2 = 0.072 kg-m^2

using Torque T = I*alpha

0.2 = 0.072*alpha

alpha = 0.2/0.072 = 2.78 rad/s^2