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Problem Solving

Two masses ar...

Question

Two masses are connected by a string as shown in the figure over a frictionless pulley attached to a fixed wedge. The acceleration of the system is

A

$4 m s^{- 2}$

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B

$2 m s^{- 2}$

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C

zero

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D

$9.8 m s^{- 2}$

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Solution

The correct option is C
zero

We know that for block $m_{1}$ ,
$T = m_{1} g sin θ$ , where $θ = 30^{\circ}$

Acceleration is given as:
$a = \frac{Net pulling force}{Total mass}$

$a = \frac{m_{2} g - m_{1} g s i n θ}{m_{1} + m_{2}} = \frac{(4 g - 8 g s i n 30^{\circ})}{m_{1} + m_{2}} = 0$

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