Two blocks connected by a light string passing over a pulley of radius 0.15m and

Question

Two blocks connected by a light string passing over a pulley of radius 0.15m and moment of interia I. The blocks move towards the right with an acceleration if 1.0m/s2 along their frictionless inclines. Determine Fta and Ftb, the tensions in the two parts of the string and find the net torque acting on the pulley and determine its moment of inertia I.

Two blocks connected by a light string passing over a pulley of radius 0.15m and moment of interia I. The blocks move towards the right with an acceleration if 1.0m/s2 along their frictionless inclines. Determine Fta and Ftb, the tensions in the two parts of the string and find the net torque acting on the pulley and determine its moment of inertia I.

Explanation / Answer

for b

10*9.8*sin61-FRb=10

FRb=75.7N

for a

Fra-8*9.8*sin32=8

Fra=49.54N

net torque= (75.7-49.54)*0.15

=3.924

I=torque/acceleration*r

=3.924/0.15

=26.16

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