03. Forces in Mechanism
Laws of Motion

146052 A car of mass \(m\) is driven with an acceleration a along a straight level road against a constant external resistive force \(R\). When the velocity of the car is \(v\), the rate at which engine of the car is doing work will be

1 R.v
2 ma.v
3 \((\mathrm{R}+\mathrm{ma}) \cdot \mathrm{v}\)
4 \((\mathrm{ma}-\mathrm{R}) . \mathrm{v}\)
Laws of Motion

146053 Two unequal masses are connected on two sides of a light string passing over a light and smooth pulley as shown in the figure. The system is released from the rest. The larger mass is stopped for a moment, \(1 \mathrm{~s}\) after the system is set into motion and then released immediately. The time elapsed before the strings is tight again is

1 \(1 / 4 \mathrm{~s}\)
2 \(1 / 2 \mathrm{~s}\)
3 \(2 / 3 \mathrm{~s}\)
4 \(1 / 3 \mathrm{~s}\)
Laws of Motion

146054 The acceleration of block \(B\) in the figure will be

1 \(\frac{m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
2 \(\frac{2 m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
3 \(\frac{2 m_{1} g}{\left(m_{1}+4 m_{2}\right)}\)
4 \(\frac{2 m_{1} g}{\left(m_{1}+m_{2}\right)}\)
Laws of Motion

146055 A body of weight \(2 \mathrm{~kg}\) is suspended as shown in figure. The tension \(T_{1}\) in the horizontal string (in kg-wt) is

1 \(2 / \sqrt{3}\)
2 \(\sqrt{3} / 2\)
3 \(2 \sqrt{3}\)
4 2
Laws of Motion

146056 The tension in the string in the pulley system shown in the figure is

1 \(75 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(7.5 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146052 A car of mass \(m\) is driven with an acceleration a along a straight level road against a constant external resistive force \(R\). When the velocity of the car is \(v\), the rate at which engine of the car is doing work will be

1 R.v
2 ma.v
3 \((\mathrm{R}+\mathrm{ma}) \cdot \mathrm{v}\)
4 \((\mathrm{ma}-\mathrm{R}) . \mathrm{v}\)
Laws of Motion

146053 Two unequal masses are connected on two sides of a light string passing over a light and smooth pulley as shown in the figure. The system is released from the rest. The larger mass is stopped for a moment, \(1 \mathrm{~s}\) after the system is set into motion and then released immediately. The time elapsed before the strings is tight again is

1 \(1 / 4 \mathrm{~s}\)
2 \(1 / 2 \mathrm{~s}\)
3 \(2 / 3 \mathrm{~s}\)
4 \(1 / 3 \mathrm{~s}\)
Laws of Motion

146054 The acceleration of block \(B\) in the figure will be

1 \(\frac{m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
2 \(\frac{2 m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
3 \(\frac{2 m_{1} g}{\left(m_{1}+4 m_{2}\right)}\)
4 \(\frac{2 m_{1} g}{\left(m_{1}+m_{2}\right)}\)
Laws of Motion

146055 A body of weight \(2 \mathrm{~kg}\) is suspended as shown in figure. The tension \(T_{1}\) in the horizontal string (in kg-wt) is

1 \(2 / \sqrt{3}\)
2 \(\sqrt{3} / 2\)
3 \(2 \sqrt{3}\)
4 2
Laws of Motion

146056 The tension in the string in the pulley system shown in the figure is

1 \(75 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(7.5 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
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Laws of Motion

146052 A car of mass \(m\) is driven with an acceleration a along a straight level road against a constant external resistive force \(R\). When the velocity of the car is \(v\), the rate at which engine of the car is doing work will be

1 R.v
2 ma.v
3 \((\mathrm{R}+\mathrm{ma}) \cdot \mathrm{v}\)
4 \((\mathrm{ma}-\mathrm{R}) . \mathrm{v}\)
Laws of Motion

146053 Two unequal masses are connected on two sides of a light string passing over a light and smooth pulley as shown in the figure. The system is released from the rest. The larger mass is stopped for a moment, \(1 \mathrm{~s}\) after the system is set into motion and then released immediately. The time elapsed before the strings is tight again is

1 \(1 / 4 \mathrm{~s}\)
2 \(1 / 2 \mathrm{~s}\)
3 \(2 / 3 \mathrm{~s}\)
4 \(1 / 3 \mathrm{~s}\)
Laws of Motion

146054 The acceleration of block \(B\) in the figure will be

1 \(\frac{m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
2 \(\frac{2 m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
3 \(\frac{2 m_{1} g}{\left(m_{1}+4 m_{2}\right)}\)
4 \(\frac{2 m_{1} g}{\left(m_{1}+m_{2}\right)}\)
Laws of Motion

146055 A body of weight \(2 \mathrm{~kg}\) is suspended as shown in figure. The tension \(T_{1}\) in the horizontal string (in kg-wt) is

1 \(2 / \sqrt{3}\)
2 \(\sqrt{3} / 2\)
3 \(2 \sqrt{3}\)
4 2
Laws of Motion

146056 The tension in the string in the pulley system shown in the figure is

1 \(75 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(7.5 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146052 A car of mass \(m\) is driven with an acceleration a along a straight level road against a constant external resistive force \(R\). When the velocity of the car is \(v\), the rate at which engine of the car is doing work will be

1 R.v
2 ma.v
3 \((\mathrm{R}+\mathrm{ma}) \cdot \mathrm{v}\)
4 \((\mathrm{ma}-\mathrm{R}) . \mathrm{v}\)
Laws of Motion

146053 Two unequal masses are connected on two sides of a light string passing over a light and smooth pulley as shown in the figure. The system is released from the rest. The larger mass is stopped for a moment, \(1 \mathrm{~s}\) after the system is set into motion and then released immediately. The time elapsed before the strings is tight again is

1 \(1 / 4 \mathrm{~s}\)
2 \(1 / 2 \mathrm{~s}\)
3 \(2 / 3 \mathrm{~s}\)
4 \(1 / 3 \mathrm{~s}\)
Laws of Motion

146054 The acceleration of block \(B\) in the figure will be

1 \(\frac{m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
2 \(\frac{2 m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
3 \(\frac{2 m_{1} g}{\left(m_{1}+4 m_{2}\right)}\)
4 \(\frac{2 m_{1} g}{\left(m_{1}+m_{2}\right)}\)
Laws of Motion

146055 A body of weight \(2 \mathrm{~kg}\) is suspended as shown in figure. The tension \(T_{1}\) in the horizontal string (in kg-wt) is

1 \(2 / \sqrt{3}\)
2 \(\sqrt{3} / 2\)
3 \(2 \sqrt{3}\)
4 2
Laws of Motion

146056 The tension in the string in the pulley system shown in the figure is

1 \(75 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(7.5 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)
Laws of Motion

146052 A car of mass \(m\) is driven with an acceleration a along a straight level road against a constant external resistive force \(R\). When the velocity of the car is \(v\), the rate at which engine of the car is doing work will be

1 R.v
2 ma.v
3 \((\mathrm{R}+\mathrm{ma}) \cdot \mathrm{v}\)
4 \((\mathrm{ma}-\mathrm{R}) . \mathrm{v}\)
Laws of Motion

146053 Two unequal masses are connected on two sides of a light string passing over a light and smooth pulley as shown in the figure. The system is released from the rest. The larger mass is stopped for a moment, \(1 \mathrm{~s}\) after the system is set into motion and then released immediately. The time elapsed before the strings is tight again is

1 \(1 / 4 \mathrm{~s}\)
2 \(1 / 2 \mathrm{~s}\)
3 \(2 / 3 \mathrm{~s}\)
4 \(1 / 3 \mathrm{~s}\)
Laws of Motion

146054 The acceleration of block \(B\) in the figure will be

1 \(\frac{m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
2 \(\frac{2 m_{2} g}{\left(4 m_{1}+m_{2}\right)}\)
3 \(\frac{2 m_{1} g}{\left(m_{1}+4 m_{2}\right)}\)
4 \(\frac{2 m_{1} g}{\left(m_{1}+m_{2}\right)}\)
Laws of Motion

146055 A body of weight \(2 \mathrm{~kg}\) is suspended as shown in figure. The tension \(T_{1}\) in the horizontal string (in kg-wt) is

1 \(2 / \sqrt{3}\)
2 \(\sqrt{3} / 2\)
3 \(2 \sqrt{3}\)
4 2
Laws of Motion

146056 The tension in the string in the pulley system shown in the figure is

1 \(75 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(7.5 \mathrm{~N}\)
4 \(30 \mathrm{~N}\)