03. Forces in Mechanism
Laws of Motion

146057 Two blocks are resting on ground with masses \(m_{1}\) and \(m_{2}\). A string connects them which goes over a mass less pulley \(P\). There is no friction between pulley and string. As force \(F\) is applied on pulley \(P\). The acceleration of centre of mass of blocks is
(Given that \(\mathrm{T}=\mathbf{2} \mathrm{m}_{1} \mathrm{~g}\) and \(\mathrm{m}_{2}=\mathbf{3} \mathrm{m}_{1}\) )

1 \(g / 8\)
2 \(g / 4\)
3 \(\frac{\mathrm{g}}{2}\)
4 \(\mathrm{g}\)
Laws of Motion

146058 In the figure, the ball \(P\) is released from rest, when the spring is at its natural length. For the block \(Q\) of mass \(2 m_{0}\) to leave contact with ground at some stage, the minimum mass of \(P\) must be

1 \(\mathrm{m}_{0}\)
2 \(2 \mathrm{~m}_{0}\)
3 \(\mathrm{m}_{0} / 2\)
4 \(\mathrm{m}_{0} / 4\)
Laws of Motion

146059 Two equal masses each of \(2 \mathrm{~kg}\) are suspended from a spring balance as shown in figure. The reading of the spring balance will be

1 Zero
2 \(2 \mathrm{~kg}\)
3 \(4 \mathrm{~kg}\)
4 between zero and \(2 \mathrm{~kg}\)
Laws of Motion

146060 A pulley fixed to the ceiling carries a string with blocks of masses \(m\) and \(3 \mathrm{~m}\) attached to its ends. The masses of string and pulley are negligible. When the system is released, the acceleration of centre of mass will be

1 Zero
2 \(-\frac{g}{4}\)
3 \(\frac{g}{2}\)
4 \(-\frac{g}{2}\)
Laws of Motion

146057 Two blocks are resting on ground with masses \(m_{1}\) and \(m_{2}\). A string connects them which goes over a mass less pulley \(P\). There is no friction between pulley and string. As force \(F\) is applied on pulley \(P\). The acceleration of centre of mass of blocks is
(Given that \(\mathrm{T}=\mathbf{2} \mathrm{m}_{1} \mathrm{~g}\) and \(\mathrm{m}_{2}=\mathbf{3} \mathrm{m}_{1}\) )

1 \(g / 8\)
2 \(g / 4\)
3 \(\frac{\mathrm{g}}{2}\)
4 \(\mathrm{g}\)
Laws of Motion

146058 In the figure, the ball \(P\) is released from rest, when the spring is at its natural length. For the block \(Q\) of mass \(2 m_{0}\) to leave contact with ground at some stage, the minimum mass of \(P\) must be

1 \(\mathrm{m}_{0}\)
2 \(2 \mathrm{~m}_{0}\)
3 \(\mathrm{m}_{0} / 2\)
4 \(\mathrm{m}_{0} / 4\)
Laws of Motion

146059 Two equal masses each of \(2 \mathrm{~kg}\) are suspended from a spring balance as shown in figure. The reading of the spring balance will be

1 Zero
2 \(2 \mathrm{~kg}\)
3 \(4 \mathrm{~kg}\)
4 between zero and \(2 \mathrm{~kg}\)
Laws of Motion

146060 A pulley fixed to the ceiling carries a string with blocks of masses \(m\) and \(3 \mathrm{~m}\) attached to its ends. The masses of string and pulley are negligible. When the system is released, the acceleration of centre of mass will be

1 Zero
2 \(-\frac{g}{4}\)
3 \(\frac{g}{2}\)
4 \(-\frac{g}{2}\)
Laws of Motion

146057 Two blocks are resting on ground with masses \(m_{1}\) and \(m_{2}\). A string connects them which goes over a mass less pulley \(P\). There is no friction between pulley and string. As force \(F\) is applied on pulley \(P\). The acceleration of centre of mass of blocks is
(Given that \(\mathrm{T}=\mathbf{2} \mathrm{m}_{1} \mathrm{~g}\) and \(\mathrm{m}_{2}=\mathbf{3} \mathrm{m}_{1}\) )

1 \(g / 8\)
2 \(g / 4\)
3 \(\frac{\mathrm{g}}{2}\)
4 \(\mathrm{g}\)
Laws of Motion

146058 In the figure, the ball \(P\) is released from rest, when the spring is at its natural length. For the block \(Q\) of mass \(2 m_{0}\) to leave contact with ground at some stage, the minimum mass of \(P\) must be

1 \(\mathrm{m}_{0}\)
2 \(2 \mathrm{~m}_{0}\)
3 \(\mathrm{m}_{0} / 2\)
4 \(\mathrm{m}_{0} / 4\)
Laws of Motion

146059 Two equal masses each of \(2 \mathrm{~kg}\) are suspended from a spring balance as shown in figure. The reading of the spring balance will be

1 Zero
2 \(2 \mathrm{~kg}\)
3 \(4 \mathrm{~kg}\)
4 between zero and \(2 \mathrm{~kg}\)
Laws of Motion

146060 A pulley fixed to the ceiling carries a string with blocks of masses \(m\) and \(3 \mathrm{~m}\) attached to its ends. The masses of string and pulley are negligible. When the system is released, the acceleration of centre of mass will be

1 Zero
2 \(-\frac{g}{4}\)
3 \(\frac{g}{2}\)
4 \(-\frac{g}{2}\)
Laws of Motion

146057 Two blocks are resting on ground with masses \(m_{1}\) and \(m_{2}\). A string connects them which goes over a mass less pulley \(P\). There is no friction between pulley and string. As force \(F\) is applied on pulley \(P\). The acceleration of centre of mass of blocks is
(Given that \(\mathrm{T}=\mathbf{2} \mathrm{m}_{1} \mathrm{~g}\) and \(\mathrm{m}_{2}=\mathbf{3} \mathrm{m}_{1}\) )

1 \(g / 8\)
2 \(g / 4\)
3 \(\frac{\mathrm{g}}{2}\)
4 \(\mathrm{g}\)
Laws of Motion

146058 In the figure, the ball \(P\) is released from rest, when the spring is at its natural length. For the block \(Q\) of mass \(2 m_{0}\) to leave contact with ground at some stage, the minimum mass of \(P\) must be

1 \(\mathrm{m}_{0}\)
2 \(2 \mathrm{~m}_{0}\)
3 \(\mathrm{m}_{0} / 2\)
4 \(\mathrm{m}_{0} / 4\)
Laws of Motion

146059 Two equal masses each of \(2 \mathrm{~kg}\) are suspended from a spring balance as shown in figure. The reading of the spring balance will be

1 Zero
2 \(2 \mathrm{~kg}\)
3 \(4 \mathrm{~kg}\)
4 between zero and \(2 \mathrm{~kg}\)
Laws of Motion

146060 A pulley fixed to the ceiling carries a string with blocks of masses \(m\) and \(3 \mathrm{~m}\) attached to its ends. The masses of string and pulley are negligible. When the system is released, the acceleration of centre of mass will be

1 Zero
2 \(-\frac{g}{4}\)
3 \(\frac{g}{2}\)
4 \(-\frac{g}{2}\)