Motion of Body Connected Together
LAWS OF MOTION (ADDITIONAL)

372223 In the arrangement shown in the figure, \(m_{A}=1 \mathrm{~kg}\) and \(m_{B}=4 \mathrm{~kg}\). Assume that the string is light and inextensible and the pulley is smooth. If the coefficient of friction between block ' \(A\) ' and the table is 0.2 . the speed of both the blocks when ' \(B\) ' has descended through a height \(h=1 \mathrm{~m}\) is nearly take \(\left(\mathrm{g}=10 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(4 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(8 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(6 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(2 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372224 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 (ADDITIONAL)

372225 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 (ADDITIONAL)

372226 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 (ADDITIONAL)

372223 In the arrangement shown in the figure, \(m_{A}=1 \mathrm{~kg}\) and \(m_{B}=4 \mathrm{~kg}\). Assume that the string is light and inextensible and the pulley is smooth. If the coefficient of friction between block ' \(A\) ' and the table is 0.2 . the speed of both the blocks when ' \(B\) ' has descended through a height \(h=1 \mathrm{~m}\) is nearly take \(\left(\mathrm{g}=10 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(4 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(8 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(6 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(2 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372224 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 (ADDITIONAL)

372225 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 (ADDITIONAL)

372226 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 (ADDITIONAL)

372223 In the arrangement shown in the figure, \(m_{A}=1 \mathrm{~kg}\) and \(m_{B}=4 \mathrm{~kg}\). Assume that the string is light and inextensible and the pulley is smooth. If the coefficient of friction between block ' \(A\) ' and the table is 0.2 . the speed of both the blocks when ' \(B\) ' has descended through a height \(h=1 \mathrm{~m}\) is nearly take \(\left(\mathrm{g}=10 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(4 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(8 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(6 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(2 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372224 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 (ADDITIONAL)

372225 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 (ADDITIONAL)

372226 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 (ADDITIONAL)

372223 In the arrangement shown in the figure, \(m_{A}=1 \mathrm{~kg}\) and \(m_{B}=4 \mathrm{~kg}\). Assume that the string is light and inextensible and the pulley is smooth. If the coefficient of friction between block ' \(A\) ' and the table is 0.2 . the speed of both the blocks when ' \(B\) ' has descended through a height \(h=1 \mathrm{~m}\) is nearly take \(\left(\mathrm{g}=10 \mathrm{~m} . \mathrm{s}^{-2}\right)\)

1 \(4 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(8 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(6 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(2 \mathrm{~m} . \mathrm{s}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

372224 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 (ADDITIONAL)

372225 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 (ADDITIONAL)

372226 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 \(1.00 \mathrm{~m} / \mathrm{s}^{2}\)