First slide

Equilibrium of a particle

Question

Three blocks A, B, and C are suspended as shown in the figure. Mass of each of blocks A and B is m. lf the system is in equilibrium, and mass of C is M, then

Moderate

A

M>2m
B

M=2m
C

M<2m
D

None of these

Solution

$At equation 2 T \cos θ = M g, T = m g$
$\begin{array}{l} \cos θ = \frac{M g}{2 m g} = \frac{M}{2 m} \\ \Rightarrow \cos θ < 1 \\ \frac{M}{2 m} < 1 \Rightarrow M < 2 m \end{array}$

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