Question

# In the figure shown, find the tension T1, if all surfaces are smooth. Take g=10 m/s2.

A
20 N
B
30 N
C
50 N
D
60 N

Solution

## The correct option is D 60 NDownward force on 10 kg=10g Downward force on 4 kg=4gsin30∘=2g (down the incline) Hence, acceleration of the system is given by a=Supporting Force−Opposing ForceTotal mass 10g−2g20=4 m/s2 We have, from equation of equilibrium of 10 kg block, 10g−T1=10a ⇒T1=10(g−a)=60 N

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