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Q.

In the arrangement shown in figure sin37=35

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a

direction of force of friction is up the plane

b

the magnitude of force of friction is zero

c

the tension in the string is 40 N

d

magnitude of force of friction is 56 N

answer is A, C.

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Detailed Solution

10gsin37=10×10×0.6=60N                    4g=4×10=40N Since     60N>40N

Block of mass 10 kg has a tendency to move down the plane. Therefore force of friction on 10 kg is up the plane.

μmgcosθ=0.7×10×10×0.8=56N=F1 (say) 

Net pulling force:

F2=(6040)N=20N

Since F2<F1, system will remain at rest.

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   T=40N   T+f=60Nf=20N

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In the arrangement shown in figure sin⁡37∘=35