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Question

Two block of mass mA=10 kg and mB=15 kg are connected by a light inextensible string and placed on a smooth horizontal surface as shown in the figure. Find the value of tension force on block A, if force applied on block B is 503 N .


A
30 N
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B
45 N
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C
15 N
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D
75 N
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Solution

The correct option is A 30 N
The forces in vertical direction are balanced for both bodies, because system will be moving only in horizontal direction.

From the FBD of blocks:

For block A
T=mAa=10a ...(i)
For block B
FcosθT=mBa=15a ...(ii)
Adding equation (i) and (ii):
Fcosθ=25a
75=25a
a=7525=3 m/s2
T=mAa=10×3=30 N

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