Forces in Mechanism
LAWS OF MOTION (ADDITIONAL)

371893 In the given diagram, \(100 \mathrm{~kg}\) block is moving up with constant velocity, then find out the tension at point \(P\) :

1 \(1980 \mathrm{~N}\)
2 \(1560 \mathrm{~N}\)
3 \(1380 \mathrm{~N}\)
4 \(1470 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371894 An empty bucket of mass \(1 \mathrm{~kg}\) attached by a light cord passed over a pulley of a water well is released form rest. If the pulley assembly is assumed to be a uniform solid cylinder of mass \(8 \mathrm{~kg}\) and free to rotate about its axis without any friction, then the speed of the bucket as it hits the water \(16 \mathrm{~m}\) below is (take, \(g=10 \mathrm{~ms}^{-2}\) )

1 \(4 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(16 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371895 A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is \(\%\) of acceleration due to gravity.

1 5
2 10
3 15
4 20
LAWS OF MOTION (ADDITIONAL)

371896 A block of mass \(10 \mathrm{~kg}\) is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest 2 \(m\) above the horizontal floor. If the hanging block strikes the floor \(2 \mathrm{~s}\) after the system is released, then weight of the hanging block is ...... \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(22.22 \mathrm{~N}\)
2 \(11.11 \mathrm{~N}\)
3 \(1.11 \mathrm{~N}\)
4 \(2.22 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371897 The system of two masses \(2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) as shown in the figure is released from rest. The work done on \(3 \mathrm{~kg}\) block by the force of gravity during first 2 seconds of its motion is \((g=10\) \(\mathbf{m s}^{-2}\) )

1 \(120 \mathrm{~J}\)
2 \(80 \mathrm{~J}\)
3 \(40 \mathrm{~J}\)
4 \(30 \mathrm{~J}\)
LAWS OF MOTION (ADDITIONAL)

371893 In the given diagram, \(100 \mathrm{~kg}\) block is moving up with constant velocity, then find out the tension at point \(P\) :

1 \(1980 \mathrm{~N}\)
2 \(1560 \mathrm{~N}\)
3 \(1380 \mathrm{~N}\)
4 \(1470 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371894 An empty bucket of mass \(1 \mathrm{~kg}\) attached by a light cord passed over a pulley of a water well is released form rest. If the pulley assembly is assumed to be a uniform solid cylinder of mass \(8 \mathrm{~kg}\) and free to rotate about its axis without any friction, then the speed of the bucket as it hits the water \(16 \mathrm{~m}\) below is (take, \(g=10 \mathrm{~ms}^{-2}\) )

1 \(4 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(16 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371895 A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is \(\%\) of acceleration due to gravity.

1 5
2 10
3 15
4 20
LAWS OF MOTION (ADDITIONAL)

371896 A block of mass \(10 \mathrm{~kg}\) is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest 2 \(m\) above the horizontal floor. If the hanging block strikes the floor \(2 \mathrm{~s}\) after the system is released, then weight of the hanging block is ...... \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(22.22 \mathrm{~N}\)
2 \(11.11 \mathrm{~N}\)
3 \(1.11 \mathrm{~N}\)
4 \(2.22 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371897 The system of two masses \(2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) as shown in the figure is released from rest. The work done on \(3 \mathrm{~kg}\) block by the force of gravity during first 2 seconds of its motion is \((g=10\) \(\mathbf{m s}^{-2}\) )

1 \(120 \mathrm{~J}\)
2 \(80 \mathrm{~J}\)
3 \(40 \mathrm{~J}\)
4 \(30 \mathrm{~J}\)
LAWS OF MOTION (ADDITIONAL)

371893 In the given diagram, \(100 \mathrm{~kg}\) block is moving up with constant velocity, then find out the tension at point \(P\) :

1 \(1980 \mathrm{~N}\)
2 \(1560 \mathrm{~N}\)
3 \(1380 \mathrm{~N}\)
4 \(1470 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371894 An empty bucket of mass \(1 \mathrm{~kg}\) attached by a light cord passed over a pulley of a water well is released form rest. If the pulley assembly is assumed to be a uniform solid cylinder of mass \(8 \mathrm{~kg}\) and free to rotate about its axis without any friction, then the speed of the bucket as it hits the water \(16 \mathrm{~m}\) below is (take, \(g=10 \mathrm{~ms}^{-2}\) )

1 \(4 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(16 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371895 A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is \(\%\) of acceleration due to gravity.

1 5
2 10
3 15
4 20
LAWS OF MOTION (ADDITIONAL)

371896 A block of mass \(10 \mathrm{~kg}\) is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest 2 \(m\) above the horizontal floor. If the hanging block strikes the floor \(2 \mathrm{~s}\) after the system is released, then weight of the hanging block is ...... \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(22.22 \mathrm{~N}\)
2 \(11.11 \mathrm{~N}\)
3 \(1.11 \mathrm{~N}\)
4 \(2.22 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371897 The system of two masses \(2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) as shown in the figure is released from rest. The work done on \(3 \mathrm{~kg}\) block by the force of gravity during first 2 seconds of its motion is \((g=10\) \(\mathbf{m s}^{-2}\) )

1 \(120 \mathrm{~J}\)
2 \(80 \mathrm{~J}\)
3 \(40 \mathrm{~J}\)
4 \(30 \mathrm{~J}\)
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LAWS OF MOTION (ADDITIONAL)

371893 In the given diagram, \(100 \mathrm{~kg}\) block is moving up with constant velocity, then find out the tension at point \(P\) :

1 \(1980 \mathrm{~N}\)
2 \(1560 \mathrm{~N}\)
3 \(1380 \mathrm{~N}\)
4 \(1470 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371894 An empty bucket of mass \(1 \mathrm{~kg}\) attached by a light cord passed over a pulley of a water well is released form rest. If the pulley assembly is assumed to be a uniform solid cylinder of mass \(8 \mathrm{~kg}\) and free to rotate about its axis without any friction, then the speed of the bucket as it hits the water \(16 \mathrm{~m}\) below is (take, \(g=10 \mathrm{~ms}^{-2}\) )

1 \(4 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(16 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371895 A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is \(\%\) of acceleration due to gravity.

1 5
2 10
3 15
4 20
LAWS OF MOTION (ADDITIONAL)

371896 A block of mass \(10 \mathrm{~kg}\) is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest 2 \(m\) above the horizontal floor. If the hanging block strikes the floor \(2 \mathrm{~s}\) after the system is released, then weight of the hanging block is ...... \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(22.22 \mathrm{~N}\)
2 \(11.11 \mathrm{~N}\)
3 \(1.11 \mathrm{~N}\)
4 \(2.22 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371897 The system of two masses \(2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) as shown in the figure is released from rest. The work done on \(3 \mathrm{~kg}\) block by the force of gravity during first 2 seconds of its motion is \((g=10\) \(\mathbf{m s}^{-2}\) )

1 \(120 \mathrm{~J}\)
2 \(80 \mathrm{~J}\)
3 \(40 \mathrm{~J}\)
4 \(30 \mathrm{~J}\)
LAWS OF MOTION (ADDITIONAL)

371893 In the given diagram, \(100 \mathrm{~kg}\) block is moving up with constant velocity, then find out the tension at point \(P\) :

1 \(1980 \mathrm{~N}\)
2 \(1560 \mathrm{~N}\)
3 \(1380 \mathrm{~N}\)
4 \(1470 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371894 An empty bucket of mass \(1 \mathrm{~kg}\) attached by a light cord passed over a pulley of a water well is released form rest. If the pulley assembly is assumed to be a uniform solid cylinder of mass \(8 \mathrm{~kg}\) and free to rotate about its axis without any friction, then the speed of the bucket as it hits the water \(16 \mathrm{~m}\) below is (take, \(g=10 \mathrm{~ms}^{-2}\) )

1 \(4 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(16 \mathrm{~ms}^{-1}\)
4 \(20 \mathrm{~ms}^{-1}\)
LAWS OF MOTION (ADDITIONAL)

371895 A double inclined plane as shown in the figure has fixed horizontal base and smooth faces with the same angle of inclination of \(30^{\circ}\). A block of mass \(300 \mathrm{~g}\) is on one face and is connected by a cord passing over a frictionless pulley to a second block of mass \(200 \mathrm{~g}\) kept on another face. The acceleration with which the system of the blocks moves is \(\%\) of acceleration due to gravity.

1 5
2 10
3 15
4 20
LAWS OF MOTION (ADDITIONAL)

371896 A block of mass \(10 \mathrm{~kg}\) is placed on a horizontal frictionless surface and is attached to a cord which passes over two light frictionless pulleys as shown in the figure. The hanging block tied to the other end of the cord is initially at rest 2 \(m\) above the horizontal floor. If the hanging block strikes the floor \(2 \mathrm{~s}\) after the system is released, then weight of the hanging block is ...... \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(22.22 \mathrm{~N}\)
2 \(11.11 \mathrm{~N}\)
3 \(1.11 \mathrm{~N}\)
4 \(2.22 \mathrm{~N}\)
LAWS OF MOTION (ADDITIONAL)

371897 The system of two masses \(2 \mathrm{~kg}\) and \(3 \mathrm{~kg}\) as shown in the figure is released from rest. The work done on \(3 \mathrm{~kg}\) block by the force of gravity during first 2 seconds of its motion is \((g=10\) \(\mathbf{m s}^{-2}\) )

1 \(120 \mathrm{~J}\)
2 \(80 \mathrm{~J}\)
3 \(40 \mathrm{~J}\)
4 \(30 \mathrm{~J}\)