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Question

If force, F=120 N is acting parallel to the inclined plane, find tension T in the string as shown in the figure. All surfaces are smooth.
(Take g=10 m/s2).

A
15 N
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B
30 N
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C
48 N
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D
60 N
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Solution

The correct option is C 48 N

Considering (4 kg+6 kg) as a system and the FBD of the 10 kg body is given as

As 120 N>10 gsin37o (=60 N), the system will accelerate up the plane.
Hence, a=Fnetmtotal=1206010=6 m/s2

For calculating T, consider the FBD of 4 kg,

Using Newton's second law,
T4g sin37o=ma=4×6T=24+(4×10×35)=48 N

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