06. Motion of Body Connected Together
Laws of Motion

146370 Consider two masses \(m_{1}\) and \(m_{2}\) are connected through a pulley. Mass ' \(m_{2}\) ' starts from rest at height ' \(h\) ' and falls down. With what speed it hits the ground?
(Assume no friction and massless string \pulleys)

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

146371 Three masses \(m_{1}, m_{2}\) and \(m_{3}\) are connected to a rope as shown in figure. It \(m_{1}=5 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}\) and \(m_{3}=3 \mathrm{~kg}\) and the whole system is going upward with as acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\), then the value of the tension \(T_{1}\) will be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(20 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(100 \mathrm{~N}\)
4 \(120 \mathrm{~N}\)
Laws of Motion

146372 Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05 . \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right.\), mass of the string is negligible and no other friction exists).

1 \(1.25 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.50 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.66 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.00 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146373 Two masses \(M_{1}\) and \(M_{2}\) are accelerated uniformly on frictionless surface as shown in figure. The ratio of the tensions \(\frac{T_{1}}{T_{2}}\) is
\(\longrightarrow \bar{a}\)

1 \(\frac{M_{1}}{M_{1}+M_{2}}\)
2 \(\frac{M_{1}}{M_{2}}\)
3 \(\frac{M_{1}+M_{2}}{M_{2}}\)
4 \(\frac{M_{2}}{M_{1}}\)
Laws of Motion

146370 Consider two masses \(m_{1}\) and \(m_{2}\) are connected through a pulley. Mass ' \(m_{2}\) ' starts from rest at height ' \(h\) ' and falls down. With what speed it hits the ground?
(Assume no friction and massless string \pulleys)

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

146371 Three masses \(m_{1}, m_{2}\) and \(m_{3}\) are connected to a rope as shown in figure. It \(m_{1}=5 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}\) and \(m_{3}=3 \mathrm{~kg}\) and the whole system is going upward with as acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\), then the value of the tension \(T_{1}\) will be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(20 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(100 \mathrm{~N}\)
4 \(120 \mathrm{~N}\)
Laws of Motion

146372 Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05 . \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right.\), mass of the string is negligible and no other friction exists).

1 \(1.25 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.50 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.66 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.00 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146373 Two masses \(M_{1}\) and \(M_{2}\) are accelerated uniformly on frictionless surface as shown in figure. The ratio of the tensions \(\frac{T_{1}}{T_{2}}\) is
\(\longrightarrow \bar{a}\)

1 \(\frac{M_{1}}{M_{1}+M_{2}}\)
2 \(\frac{M_{1}}{M_{2}}\)
3 \(\frac{M_{1}+M_{2}}{M_{2}}\)
4 \(\frac{M_{2}}{M_{1}}\)
Laws of Motion

146370 Consider two masses \(m_{1}\) and \(m_{2}\) are connected through a pulley. Mass ' \(m_{2}\) ' starts from rest at height ' \(h\) ' and falls down. With what speed it hits the ground?
(Assume no friction and massless string \pulleys)

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

146371 Three masses \(m_{1}, m_{2}\) and \(m_{3}\) are connected to a rope as shown in figure. It \(m_{1}=5 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}\) and \(m_{3}=3 \mathrm{~kg}\) and the whole system is going upward with as acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\), then the value of the tension \(T_{1}\) will be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(20 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(100 \mathrm{~N}\)
4 \(120 \mathrm{~N}\)
Laws of Motion

146372 Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05 . \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right.\), mass of the string is negligible and no other friction exists).

1 \(1.25 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.50 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.66 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.00 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146373 Two masses \(M_{1}\) and \(M_{2}\) are accelerated uniformly on frictionless surface as shown in figure. The ratio of the tensions \(\frac{T_{1}}{T_{2}}\) is
\(\longrightarrow \bar{a}\)

1 \(\frac{M_{1}}{M_{1}+M_{2}}\)
2 \(\frac{M_{1}}{M_{2}}\)
3 \(\frac{M_{1}+M_{2}}{M_{2}}\)
4 \(\frac{M_{2}}{M_{1}}\)
Laws of Motion

146370 Consider two masses \(m_{1}\) and \(m_{2}\) are connected through a pulley. Mass ' \(m_{2}\) ' starts from rest at height ' \(h\) ' and falls down. With what speed it hits the ground?
(Assume no friction and massless string \pulleys)

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

146371 Three masses \(m_{1}, m_{2}\) and \(m_{3}\) are connected to a rope as shown in figure. It \(m_{1}=5 \mathrm{~kg}, m_{2}=2 \mathrm{~kg}\) and \(m_{3}=3 \mathrm{~kg}\) and the whole system is going upward with as acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\), then the value of the tension \(T_{1}\) will be \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(20 \mathrm{~N}\)
2 \(80 \mathrm{~N}\)
3 \(100 \mathrm{~N}\)
4 \(120 \mathrm{~N}\)
Laws of Motion

146372 Calculate the acceleration of the block and trolly system shown in the figure. The coefficient of kinetic friction between the trolly and the surface is 0.05 . \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right.\), mass of the string is negligible and no other friction exists).

1 \(1.25 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(1.50 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1.66 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(1.00 \mathrm{~m} / \mathrm{s}^{2}\)
Laws of Motion

146373 Two masses \(M_{1}\) and \(M_{2}\) are accelerated uniformly on frictionless surface as shown in figure. The ratio of the tensions \(\frac{T_{1}}{T_{2}}\) is
\(\longrightarrow \bar{a}\)

1 \(\frac{M_{1}}{M_{1}+M_{2}}\)
2 \(\frac{M_{1}}{M_{2}}\)
3 \(\frac{M_{1}+M_{2}}{M_{2}}\)
4 \(\frac{M_{2}}{M_{1}}\)