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Question

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



Your Answer
A
20 N
Your Answer
B
30 N
Your Answer
C
50 N
Correct Answer
D
60 N

Solution

The correct option is D 60 N
Downward 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 ForceOpposing ForceTotal mass
10g2g20=4 m/s2

We have, from equation of equilibrium of 10 kg block,
10gT1=10a
T1=10(ga)=60 N

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