06. Motion of Body Connected Together
Laws of Motion

146364 Three blocks of masses \(2 \mathrm{~kg}, 3 \mathrm{~kg}\) and \(5 \mathrm{~kg}\) are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \(=10 \mathrm{~N}\), then tension \(T_{1}=\)

1 \(1 \mathrm{~N}\)
2 \(5 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Laws of Motion

146365 Two masses of \(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are suspended with the help of massless inextensible strings as shown in figure, when whole system is going upwards with acceleration \(2 \mathrm{~m} / \mathrm{s}^{2}\), the value of \(T_{1}\) is (use \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(23.6 \mathrm{~N}\)
2 \(59 \mathrm{~N}\)
3 \(94.4 \mathrm{~N}\)
4 \(35.4 \mathrm{~N}\)
Laws of Motion

146366 Three bodies \(A, B\) and \(C\) of masses \(10 \mathrm{~g}\) each are tied to a thread-pulley system as shown in the figure. Assume the masses of the pulley and the threads are negligible and there is no friction in the pulley. If the co-efficient of friction between the bodies \(A\) and \(B\) with the horizontal surface is 0.1 . then the acceleration with which the body \(C\) comes down is [Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) ]

1 \(\frac{2}{3} \mathrm{~ms}^{-2}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-2}\)
3 \(\frac{1}{3} \mathrm{~ms}^{-2}\)
4 \(\frac{4}{3} \mathrm{~ms}^{-2}\)
Laws of Motion

146367 Two rectangular blocks of masses \(40 \mathrm{~kg}\) and 60 \(\mathrm{kg}\) are connected by a string and kept on a frictionless horizontal table. If a force of \(\mathbf{1 0 0 0}\) \(\mathrm{N}\) is applied on \(60 \mathrm{~kg}\) block away from \(40 \mathrm{~kg}\) block, then the tension in string is

1 \(450 \mathrm{~N}\)
2 \(400 \mathrm{~N}\)
3 \(350 \mathrm{~N}\)
4 \(500 \mathrm{~N}\)
Laws of Motion

146369 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

146364 Three blocks of masses \(2 \mathrm{~kg}, 3 \mathrm{~kg}\) and \(5 \mathrm{~kg}\) are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \(=10 \mathrm{~N}\), then tension \(T_{1}=\)

1 \(1 \mathrm{~N}\)
2 \(5 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Laws of Motion

146365 Two masses of \(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are suspended with the help of massless inextensible strings as shown in figure, when whole system is going upwards with acceleration \(2 \mathrm{~m} / \mathrm{s}^{2}\), the value of \(T_{1}\) is (use \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(23.6 \mathrm{~N}\)
2 \(59 \mathrm{~N}\)
3 \(94.4 \mathrm{~N}\)
4 \(35.4 \mathrm{~N}\)
Laws of Motion

146366 Three bodies \(A, B\) and \(C\) of masses \(10 \mathrm{~g}\) each are tied to a thread-pulley system as shown in the figure. Assume the masses of the pulley and the threads are negligible and there is no friction in the pulley. If the co-efficient of friction between the bodies \(A\) and \(B\) with the horizontal surface is 0.1 . then the acceleration with which the body \(C\) comes down is [Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) ]

1 \(\frac{2}{3} \mathrm{~ms}^{-2}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-2}\)
3 \(\frac{1}{3} \mathrm{~ms}^{-2}\)
4 \(\frac{4}{3} \mathrm{~ms}^{-2}\)
Laws of Motion

146367 Two rectangular blocks of masses \(40 \mathrm{~kg}\) and 60 \(\mathrm{kg}\) are connected by a string and kept on a frictionless horizontal table. If a force of \(\mathbf{1 0 0 0}\) \(\mathrm{N}\) is applied on \(60 \mathrm{~kg}\) block away from \(40 \mathrm{~kg}\) block, then the tension in string is

1 \(450 \mathrm{~N}\)
2 \(400 \mathrm{~N}\)
3 \(350 \mathrm{~N}\)
4 \(500 \mathrm{~N}\)
Laws of Motion

146369 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

146364 Three blocks of masses \(2 \mathrm{~kg}, 3 \mathrm{~kg}\) and \(5 \mathrm{~kg}\) are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \(=10 \mathrm{~N}\), then tension \(T_{1}=\)

1 \(1 \mathrm{~N}\)
2 \(5 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Laws of Motion

146365 Two masses of \(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are suspended with the help of massless inextensible strings as shown in figure, when whole system is going upwards with acceleration \(2 \mathrm{~m} / \mathrm{s}^{2}\), the value of \(T_{1}\) is (use \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(23.6 \mathrm{~N}\)
2 \(59 \mathrm{~N}\)
3 \(94.4 \mathrm{~N}\)
4 \(35.4 \mathrm{~N}\)
Laws of Motion

146366 Three bodies \(A, B\) and \(C\) of masses \(10 \mathrm{~g}\) each are tied to a thread-pulley system as shown in the figure. Assume the masses of the pulley and the threads are negligible and there is no friction in the pulley. If the co-efficient of friction between the bodies \(A\) and \(B\) with the horizontal surface is 0.1 . then the acceleration with which the body \(C\) comes down is [Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) ]

1 \(\frac{2}{3} \mathrm{~ms}^{-2}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-2}\)
3 \(\frac{1}{3} \mathrm{~ms}^{-2}\)
4 \(\frac{4}{3} \mathrm{~ms}^{-2}\)
Laws of Motion

146367 Two rectangular blocks of masses \(40 \mathrm{~kg}\) and 60 \(\mathrm{kg}\) are connected by a string and kept on a frictionless horizontal table. If a force of \(\mathbf{1 0 0 0}\) \(\mathrm{N}\) is applied on \(60 \mathrm{~kg}\) block away from \(40 \mathrm{~kg}\) block, then the tension in string is

1 \(450 \mathrm{~N}\)
2 \(400 \mathrm{~N}\)
3 \(350 \mathrm{~N}\)
4 \(500 \mathrm{~N}\)
Laws of Motion

146369 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 \(2 \mathrm{~m} . \mathrm{s}^{-1}\)
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Laws of Motion

146364 Three blocks of masses \(2 \mathrm{~kg}, 3 \mathrm{~kg}\) and \(5 \mathrm{~kg}\) are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \(=10 \mathrm{~N}\), then tension \(T_{1}=\)

1 \(1 \mathrm{~N}\)
2 \(5 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Laws of Motion

146365 Two masses of \(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are suspended with the help of massless inextensible strings as shown in figure, when whole system is going upwards with acceleration \(2 \mathrm{~m} / \mathrm{s}^{2}\), the value of \(T_{1}\) is (use \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(23.6 \mathrm{~N}\)
2 \(59 \mathrm{~N}\)
3 \(94.4 \mathrm{~N}\)
4 \(35.4 \mathrm{~N}\)
Laws of Motion

146366 Three bodies \(A, B\) and \(C\) of masses \(10 \mathrm{~g}\) each are tied to a thread-pulley system as shown in the figure. Assume the masses of the pulley and the threads are negligible and there is no friction in the pulley. If the co-efficient of friction between the bodies \(A\) and \(B\) with the horizontal surface is 0.1 . then the acceleration with which the body \(C\) comes down is [Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) ]

1 \(\frac{2}{3} \mathrm{~ms}^{-2}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-2}\)
3 \(\frac{1}{3} \mathrm{~ms}^{-2}\)
4 \(\frac{4}{3} \mathrm{~ms}^{-2}\)
Laws of Motion

146367 Two rectangular blocks of masses \(40 \mathrm{~kg}\) and 60 \(\mathrm{kg}\) are connected by a string and kept on a frictionless horizontal table. If a force of \(\mathbf{1 0 0 0}\) \(\mathrm{N}\) is applied on \(60 \mathrm{~kg}\) block away from \(40 \mathrm{~kg}\) block, then the tension in string is

1 \(450 \mathrm{~N}\)
2 \(400 \mathrm{~N}\)
3 \(350 \mathrm{~N}\)
4 \(500 \mathrm{~N}\)
Laws of Motion

146369 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

146364 Three blocks of masses \(2 \mathrm{~kg}, 3 \mathrm{~kg}\) and \(5 \mathrm{~kg}\) are connected to each other with light string and are then placed on a frictionless surface as shown in the figure. The system is pulled by a force \(=10 \mathrm{~N}\), then tension \(T_{1}=\)

1 \(1 \mathrm{~N}\)
2 \(5 \mathrm{~N}\)
3 \(8 \mathrm{~N}\)
4 \(10 \mathrm{~N}\)
Laws of Motion

146365 Two masses of \(5 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) are suspended with the help of massless inextensible strings as shown in figure, when whole system is going upwards with acceleration \(2 \mathrm{~m} / \mathrm{s}^{2}\), the value of \(T_{1}\) is (use \(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(23.6 \mathrm{~N}\)
2 \(59 \mathrm{~N}\)
3 \(94.4 \mathrm{~N}\)
4 \(35.4 \mathrm{~N}\)
Laws of Motion

146366 Three bodies \(A, B\) and \(C\) of masses \(10 \mathrm{~g}\) each are tied to a thread-pulley system as shown in the figure. Assume the masses of the pulley and the threads are negligible and there is no friction in the pulley. If the co-efficient of friction between the bodies \(A\) and \(B\) with the horizontal surface is 0.1 . then the acceleration with which the body \(C\) comes down is [Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) ]

1 \(\frac{2}{3} \mathrm{~ms}^{-2}\)
2 \(\frac{8}{3} \mathrm{~ms}^{-2}\)
3 \(\frac{1}{3} \mathrm{~ms}^{-2}\)
4 \(\frac{4}{3} \mathrm{~ms}^{-2}\)
Laws of Motion

146367 Two rectangular blocks of masses \(40 \mathrm{~kg}\) and 60 \(\mathrm{kg}\) are connected by a string and kept on a frictionless horizontal table. If a force of \(\mathbf{1 0 0 0}\) \(\mathrm{N}\) is applied on \(60 \mathrm{~kg}\) block away from \(40 \mathrm{~kg}\) block, then the tension in string is

1 \(450 \mathrm{~N}\)
2 \(400 \mathrm{~N}\)
3 \(350 \mathrm{~N}\)
4 \(500 \mathrm{~N}\)
Laws of Motion

146369 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 \(2 \mathrm{~m} . \mathrm{s}^{-1}\)