In the system shown below, there is a block of mass M = 3.9 kg resting on a hori

Question

In the system shown below, there is a block of mass M = 3.9 kg resting on a horizontal ledge. The coefficient of kinetic friction between the ledge and the block is 0.25. The block is attached to a string that passes over a pulley, and the other end of the string is attached to a hanging block of mass in = 2.2 kg. The pulley is a uniform disk of radius 8 6 cm and mass 0.61 kg. Find the acceleration of each block and the tensions in the segments of string between each block and the pulley. acceleration m/s^2 N tension N horizontal N vertical N

Explanation / Answer

For the ist object

T-ukMg=Ma

T-0.25(3.9)(10)=3.9a

T-9.75=3.9a...........1

For the mass m

mg-T=ma

22-T=2.2a...................2

eq1+eq2

T-9.75+22-T=6.1a

12.25= 6.1a

a=2.008m/s2

Now putting in eq1 we get

T-9.75=3.9(2.008)

T=9.75+7.8

T=17.53N

Tension in horizontal =17.53N

Tension in Vertical= 17.53N

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