ROTATIONAL KINEMATICS, TORQUE, MECHANICAL QUILIBRIUM
Rotational Motion

269506 A metal rod of uniform thickness and of length\(1 \mathrm{~m}\) is suspended at its \(25 \mathrm{~cm}\) division with help of a string. The rod remains horizontally straight when a block of mass 2 \(\mathrm{kg}\) is suspended to the rod at its \(10 \mathrm{~cm}\) division. The mass of rod is

1 \(0.4 \mathrm{~kg}\)
2 \(0.8 \mathrm{~kg}\)
3 \(1.2 \mathrm{~kg}\)
4 \(1.6 \mathrm{~kg}\)
Rotational Motion

269507 A metallic rod of mass\(20 \mathrm{~kg}\) and of uniform thickness rests against a wall while the lower end of rod is in contact with rough floor. The rod makes an angle \(60^{\circ}\) with floor. If the weight of rod produces a torque \(150 \mathrm{Nm}\) about its lower end,the length of \(\operatorname{rod}\left(\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}\right)\)

1 \(1.5 \mathrm{~m}\)
2 \(2 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(4 \mathrm{~m}\)
Rotational Motion

269508 A roller of mass\(300 \mathrm{~kg}\) and of radius \(50 \mathrm{~cm}\) lying on horizontal floor is resting against a step of height \(20 \mathrm{~cm}\). The minimum horizontal force to be applied on the roller passing through its centre to turn the roller on to the step is

1 \(980 \mathrm{~N}\)
2 \(1960 \mathrm{~N}\)
3 \(2940 \mathrm{~N}\)
4 \(3920 \mathrm{~N}\)
Rotational Motion

269558 A ceiling fan is rotating about its own axis with uniform angular velocity \(\omega\). The electric current is switched off then due to constant opposing torque its angular velocity is reduced to \(\frac{2 \omega}{3}\) as it completes 30 rotations. The number of rotations further it makes before coming to rest is

1 18
2 12
3 9
4 24
Rotational Motion

269559 A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of \(4 \mathrm{rad} / \mathrm{s}^{2}\). The number of revolutions it makes before coming to rest is

1 143
2 272
3 314
4 722
Rotational Motion

269506 A metal rod of uniform thickness and of length\(1 \mathrm{~m}\) is suspended at its \(25 \mathrm{~cm}\) division with help of a string. The rod remains horizontally straight when a block of mass 2 \(\mathrm{kg}\) is suspended to the rod at its \(10 \mathrm{~cm}\) division. The mass of rod is

1 \(0.4 \mathrm{~kg}\)
2 \(0.8 \mathrm{~kg}\)
3 \(1.2 \mathrm{~kg}\)
4 \(1.6 \mathrm{~kg}\)
Rotational Motion

269507 A metallic rod of mass\(20 \mathrm{~kg}\) and of uniform thickness rests against a wall while the lower end of rod is in contact with rough floor. The rod makes an angle \(60^{\circ}\) with floor. If the weight of rod produces a torque \(150 \mathrm{Nm}\) about its lower end,the length of \(\operatorname{rod}\left(\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}\right)\)

1 \(1.5 \mathrm{~m}\)
2 \(2 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(4 \mathrm{~m}\)
Rotational Motion

269508 A roller of mass\(300 \mathrm{~kg}\) and of radius \(50 \mathrm{~cm}\) lying on horizontal floor is resting against a step of height \(20 \mathrm{~cm}\). The minimum horizontal force to be applied on the roller passing through its centre to turn the roller on to the step is

1 \(980 \mathrm{~N}\)
2 \(1960 \mathrm{~N}\)
3 \(2940 \mathrm{~N}\)
4 \(3920 \mathrm{~N}\)
Rotational Motion

269558 A ceiling fan is rotating about its own axis with uniform angular velocity \(\omega\). The electric current is switched off then due to constant opposing torque its angular velocity is reduced to \(\frac{2 \omega}{3}\) as it completes 30 rotations. The number of rotations further it makes before coming to rest is

1 18
2 12
3 9
4 24
Rotational Motion

269559 A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of \(4 \mathrm{rad} / \mathrm{s}^{2}\). The number of revolutions it makes before coming to rest is

1 143
2 272
3 314
4 722
Rotational Motion

269506 A metal rod of uniform thickness and of length\(1 \mathrm{~m}\) is suspended at its \(25 \mathrm{~cm}\) division with help of a string. The rod remains horizontally straight when a block of mass 2 \(\mathrm{kg}\) is suspended to the rod at its \(10 \mathrm{~cm}\) division. The mass of rod is

1 \(0.4 \mathrm{~kg}\)
2 \(0.8 \mathrm{~kg}\)
3 \(1.2 \mathrm{~kg}\)
4 \(1.6 \mathrm{~kg}\)
Rotational Motion

269507 A metallic rod of mass\(20 \mathrm{~kg}\) and of uniform thickness rests against a wall while the lower end of rod is in contact with rough floor. The rod makes an angle \(60^{\circ}\) with floor. If the weight of rod produces a torque \(150 \mathrm{Nm}\) about its lower end,the length of \(\operatorname{rod}\left(\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}\right)\)

1 \(1.5 \mathrm{~m}\)
2 \(2 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(4 \mathrm{~m}\)
Rotational Motion

269508 A roller of mass\(300 \mathrm{~kg}\) and of radius \(50 \mathrm{~cm}\) lying on horizontal floor is resting against a step of height \(20 \mathrm{~cm}\). The minimum horizontal force to be applied on the roller passing through its centre to turn the roller on to the step is

1 \(980 \mathrm{~N}\)
2 \(1960 \mathrm{~N}\)
3 \(2940 \mathrm{~N}\)
4 \(3920 \mathrm{~N}\)
Rotational Motion

269558 A ceiling fan is rotating about its own axis with uniform angular velocity \(\omega\). The electric current is switched off then due to constant opposing torque its angular velocity is reduced to \(\frac{2 \omega}{3}\) as it completes 30 rotations. The number of rotations further it makes before coming to rest is

1 18
2 12
3 9
4 24
Rotational Motion

269559 A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of \(4 \mathrm{rad} / \mathrm{s}^{2}\). The number of revolutions it makes before coming to rest is

1 143
2 272
3 314
4 722
Rotational Motion

269506 A metal rod of uniform thickness and of length\(1 \mathrm{~m}\) is suspended at its \(25 \mathrm{~cm}\) division with help of a string. The rod remains horizontally straight when a block of mass 2 \(\mathrm{kg}\) is suspended to the rod at its \(10 \mathrm{~cm}\) division. The mass of rod is

1 \(0.4 \mathrm{~kg}\)
2 \(0.8 \mathrm{~kg}\)
3 \(1.2 \mathrm{~kg}\)
4 \(1.6 \mathrm{~kg}\)
Rotational Motion

269507 A metallic rod of mass\(20 \mathrm{~kg}\) and of uniform thickness rests against a wall while the lower end of rod is in contact with rough floor. The rod makes an angle \(60^{\circ}\) with floor. If the weight of rod produces a torque \(150 \mathrm{Nm}\) about its lower end,the length of \(\operatorname{rod}\left(\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}\right)\)

1 \(1.5 \mathrm{~m}\)
2 \(2 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(4 \mathrm{~m}\)
Rotational Motion

269508 A roller of mass\(300 \mathrm{~kg}\) and of radius \(50 \mathrm{~cm}\) lying on horizontal floor is resting against a step of height \(20 \mathrm{~cm}\). The minimum horizontal force to be applied on the roller passing through its centre to turn the roller on to the step is

1 \(980 \mathrm{~N}\)
2 \(1960 \mathrm{~N}\)
3 \(2940 \mathrm{~N}\)
4 \(3920 \mathrm{~N}\)
Rotational Motion

269558 A ceiling fan is rotating about its own axis with uniform angular velocity \(\omega\). The electric current is switched off then due to constant opposing torque its angular velocity is reduced to \(\frac{2 \omega}{3}\) as it completes 30 rotations. The number of rotations further it makes before coming to rest is

1 18
2 12
3 9
4 24
Rotational Motion

269559 A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of \(4 \mathrm{rad} / \mathrm{s}^{2}\). The number of revolutions it makes before coming to rest is

1 143
2 272
3 314
4 722
Rotational Motion

269506 A metal rod of uniform thickness and of length\(1 \mathrm{~m}\) is suspended at its \(25 \mathrm{~cm}\) division with help of a string. The rod remains horizontally straight when a block of mass 2 \(\mathrm{kg}\) is suspended to the rod at its \(10 \mathrm{~cm}\) division. The mass of rod is

1 \(0.4 \mathrm{~kg}\)
2 \(0.8 \mathrm{~kg}\)
3 \(1.2 \mathrm{~kg}\)
4 \(1.6 \mathrm{~kg}\)
Rotational Motion

269507 A metallic rod of mass\(20 \mathrm{~kg}\) and of uniform thickness rests against a wall while the lower end of rod is in contact with rough floor. The rod makes an angle \(60^{\circ}\) with floor. If the weight of rod produces a torque \(150 \mathrm{Nm}\) about its lower end,the length of \(\operatorname{rod}\left(\mathrm{g}=\mathbf{1 0} \mathrm{ms}^{-2}\right)\)

1 \(1.5 \mathrm{~m}\)
2 \(2 \mathrm{~m}\)
3 \(3 \mathrm{~m}\)
4 \(4 \mathrm{~m}\)
Rotational Motion

269508 A roller of mass\(300 \mathrm{~kg}\) and of radius \(50 \mathrm{~cm}\) lying on horizontal floor is resting against a step of height \(20 \mathrm{~cm}\). The minimum horizontal force to be applied on the roller passing through its centre to turn the roller on to the step is

1 \(980 \mathrm{~N}\)
2 \(1960 \mathrm{~N}\)
3 \(2940 \mathrm{~N}\)
4 \(3920 \mathrm{~N}\)
Rotational Motion

269558 A ceiling fan is rotating about its own axis with uniform angular velocity \(\omega\). The electric current is switched off then due to constant opposing torque its angular velocity is reduced to \(\frac{2 \omega}{3}\) as it completes 30 rotations. The number of rotations further it makes before coming to rest is

1 18
2 12
3 9
4 24
Rotational Motion

269559 A wheel has a speed of 1200 revolutions per minute and is made to slow down at a rate of \(4 \mathrm{rad} / \mathrm{s}^{2}\). The number of revolutions it makes before coming to rest is

1 143
2 272
3 314
4 722