Forces in Mechanism
LAWS OF MOTION (ADDITIONAL)

371885 In the figure shown, acceleration with which the mass \(\mathrm{m}\) falls down when released is (consider the string to be massless, gacceleration due to gravity)

1 \(\frac{2 g}{3}\)
2 \(\frac{g}{2}\)
3 \(\frac{5 g}{6}\)
4 \(g\)
LAWS OF MOTION (ADDITIONAL)

371886 One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of \(30^{\circ}\) with the ground. The clamp can tolerate a vertical force of \(40 \mathrm{~N}\). If a monkey of mass \(5 \mathrm{~kg}\) were to climb up the rope, then the maximum acceleration in the upward direction with which it can climb safely is \((g=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(2 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(6 \mathrm{~ms}^{-2}\)
4 \(8 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371887 Four blocks A, B, C and D of masses \(6 \mathrm{~kg}, 3 \mathrm{~kg}\), \(6 \mathrm{~kg}\) and \(1 \mathrm{~kg}\) respectively are connected by light strings passing over frictionless pulleys as shown in the figure. The strings \(P\) and \(Q\) are horizontal. The coefficient of friction between the horizontal surface and the block \(B\) is 0.2 and the blocks \(A\) and \(B\) move together. If the system is released from rest.
Then the tension in the string \(Q\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-2}\) )

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(12 \mathrm{~N}\)
4 \(6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371888 A system containing masses and pulleys connected on an inclined plane is shown in the figure. If the system is in equilibrium then the value of \(\mathbf{m}\) is

1 \(1 \mathrm{~kg}\)
2 \(0.5 \mathrm{~kg}\)
3 \(0.75 \mathrm{~kg}\)
4 \(0.25 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371885 In the figure shown, acceleration with which the mass \(\mathrm{m}\) falls down when released is (consider the string to be massless, gacceleration due to gravity)

1 \(\frac{2 g}{3}\)
2 \(\frac{g}{2}\)
3 \(\frac{5 g}{6}\)
4 \(g\)
LAWS OF MOTION (ADDITIONAL)

371886 One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of \(30^{\circ}\) with the ground. The clamp can tolerate a vertical force of \(40 \mathrm{~N}\). If a monkey of mass \(5 \mathrm{~kg}\) were to climb up the rope, then the maximum acceleration in the upward direction with which it can climb safely is \((g=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(2 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(6 \mathrm{~ms}^{-2}\)
4 \(8 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371887 Four blocks A, B, C and D of masses \(6 \mathrm{~kg}, 3 \mathrm{~kg}\), \(6 \mathrm{~kg}\) and \(1 \mathrm{~kg}\) respectively are connected by light strings passing over frictionless pulleys as shown in the figure. The strings \(P\) and \(Q\) are horizontal. The coefficient of friction between the horizontal surface and the block \(B\) is 0.2 and the blocks \(A\) and \(B\) move together. If the system is released from rest.
Then the tension in the string \(Q\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-2}\) )

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(12 \mathrm{~N}\)
4 \(6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371888 A system containing masses and pulleys connected on an inclined plane is shown in the figure. If the system is in equilibrium then the value of \(\mathbf{m}\) is

1 \(1 \mathrm{~kg}\)
2 \(0.5 \mathrm{~kg}\)
3 \(0.75 \mathrm{~kg}\)
4 \(0.25 \mathrm{~kg}\)
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LAWS OF MOTION (ADDITIONAL)

371885 In the figure shown, acceleration with which the mass \(\mathrm{m}\) falls down when released is (consider the string to be massless, gacceleration due to gravity)

1 \(\frac{2 g}{3}\)
2 \(\frac{g}{2}\)
3 \(\frac{5 g}{6}\)
4 \(g\)
LAWS OF MOTION (ADDITIONAL)

371886 One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of \(30^{\circ}\) with the ground. The clamp can tolerate a vertical force of \(40 \mathrm{~N}\). If a monkey of mass \(5 \mathrm{~kg}\) were to climb up the rope, then the maximum acceleration in the upward direction with which it can climb safely is \((g=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(2 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(6 \mathrm{~ms}^{-2}\)
4 \(8 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371887 Four blocks A, B, C and D of masses \(6 \mathrm{~kg}, 3 \mathrm{~kg}\), \(6 \mathrm{~kg}\) and \(1 \mathrm{~kg}\) respectively are connected by light strings passing over frictionless pulleys as shown in the figure. The strings \(P\) and \(Q\) are horizontal. The coefficient of friction between the horizontal surface and the block \(B\) is 0.2 and the blocks \(A\) and \(B\) move together. If the system is released from rest.
Then the tension in the string \(Q\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-2}\) )

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(12 \mathrm{~N}\)
4 \(6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371888 A system containing masses and pulleys connected on an inclined plane is shown in the figure. If the system is in equilibrium then the value of \(\mathbf{m}\) is

1 \(1 \mathrm{~kg}\)
2 \(0.5 \mathrm{~kg}\)
3 \(0.75 \mathrm{~kg}\)
4 \(0.25 \mathrm{~kg}\)
LAWS OF MOTION (ADDITIONAL)

371885 In the figure shown, acceleration with which the mass \(\mathrm{m}\) falls down when released is (consider the string to be massless, gacceleration due to gravity)

1 \(\frac{2 g}{3}\)
2 \(\frac{g}{2}\)
3 \(\frac{5 g}{6}\)
4 \(g\)
LAWS OF MOTION (ADDITIONAL)

371886 One end of a light string is fixed to a clamp on the ground and the other end passes over a fixed frictionless pulley as shown in the figure. It makes an angle of \(30^{\circ}\) with the ground. The clamp can tolerate a vertical force of \(40 \mathrm{~N}\). If a monkey of mass \(5 \mathrm{~kg}\) were to climb up the rope, then the maximum acceleration in the upward direction with which it can climb safely is \((g=\) \(10 \mathrm{~ms}^{-2}\) )

1 \(2 \mathrm{~ms}^{-2}\)
2 \(4 \mathrm{~ms}^{-2}\)
3 \(6 \mathrm{~ms}^{-2}\)
4 \(8 \mathrm{~ms}^{-2}\)
LAWS OF MOTION (ADDITIONAL)

371887 Four blocks A, B, C and D of masses \(6 \mathrm{~kg}, 3 \mathrm{~kg}\), \(6 \mathrm{~kg}\) and \(1 \mathrm{~kg}\) respectively are connected by light strings passing over frictionless pulleys as shown in the figure. The strings \(P\) and \(Q\) are horizontal. The coefficient of friction between the horizontal surface and the block \(B\) is 0.2 and the blocks \(A\) and \(B\) move together. If the system is released from rest.
Then the tension in the string \(Q\) is
(Acceleration due to gravity, \(g=10 \mathbf{~ m s}^{-2}\) )

1 \(48 \mathrm{~N}\)
2 \(24 \mathrm{~N}\)
3 \(12 \mathrm{~N}\)
4 \(6 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371888 A system containing masses and pulleys connected on an inclined plane is shown in the figure. If the system is in equilibrium then the value of \(\mathbf{m}\) is

1 \(1 \mathrm{~kg}\)
2 \(0.5 \mathrm{~kg}\)
3 \(0.75 \mathrm{~kg}\)
4 \(0.25 \mathrm{~kg}\)