ROTATIONAL KINEMATICS, TORQUE, MECHANICAL QUILIBRIUM
Rotational Motion

269502 A stationary wheel starts rotating about its own axis at an angular acceleration\(5.5 \mathrm{rad} / \mathrm{s}^{2} \cdot\) To acquire an angular velocity 420 revolutions per minute, the number of rotations made by the wheel is

1 14
2 21
3 28
4 35
Rotational Motion

269503 A circular disc is rotating about its own axis at constant angular acceleration. If its angular velocity increases from\(210 \mathrm{rpm}\) to \(420 \mathrm{rpm}\) during 21 rotations then the angular acceleration of disc is

1 \(5.5 \mathrm{rad} / \mathrm{s}^{2}\)
2 \(11 \mathrm{rad} / \mathrm{s}^{2}\)
3 \(16.5 \mathrm{rad} / \mathrm{s}^{2}\)
4 \(22 \mathrm{rad} / \mathrm{s}^{2}\)
Rotational Motion

269504 A circular disc is rotating about its own axis at uniform angular velocity\(\omega\). The disc is subjected to uniform angular retardation by which its angular velocity is decreased to \(\omega / 2\) during 120 rotations. The number of rotations further made by it before coming to rest is

1 120
2 60
3 40
4 \(20 \mathrm{~S}\)
Rotational Motion

269505 Average torque on a projectile of mass \(m\), initial speed \(u\) and angle of projection \(\theta\) between initial and final positions \(P\) and \(Q\), about the point of projection is :

1 \(\frac{m u^{2} \sin 2 \theta}{2}\)
2 \(m u^{2} \cos \theta\)
3 \(m u^{2} \sin \theta\)
4 \(\frac{m u^{2} \cos \theta}{2}\)
Rotational Motion

269502 A stationary wheel starts rotating about its own axis at an angular acceleration\(5.5 \mathrm{rad} / \mathrm{s}^{2} \cdot\) To acquire an angular velocity 420 revolutions per minute, the number of rotations made by the wheel is

1 14
2 21
3 28
4 35
Rotational Motion

269503 A circular disc is rotating about its own axis at constant angular acceleration. If its angular velocity increases from\(210 \mathrm{rpm}\) to \(420 \mathrm{rpm}\) during 21 rotations then the angular acceleration of disc is

1 \(5.5 \mathrm{rad} / \mathrm{s}^{2}\)
2 \(11 \mathrm{rad} / \mathrm{s}^{2}\)
3 \(16.5 \mathrm{rad} / \mathrm{s}^{2}\)
4 \(22 \mathrm{rad} / \mathrm{s}^{2}\)
Rotational Motion

269504 A circular disc is rotating about its own axis at uniform angular velocity\(\omega\). The disc is subjected to uniform angular retardation by which its angular velocity is decreased to \(\omega / 2\) during 120 rotations. The number of rotations further made by it before coming to rest is

1 120
2 60
3 40
4 \(20 \mathrm{~S}\)
Rotational Motion

269505 Average torque on a projectile of mass \(m\), initial speed \(u\) and angle of projection \(\theta\) between initial and final positions \(P\) and \(Q\), about the point of projection is :

1 \(\frac{m u^{2} \sin 2 \theta}{2}\)
2 \(m u^{2} \cos \theta\)
3 \(m u^{2} \sin \theta\)
4 \(\frac{m u^{2} \cos \theta}{2}\)
Rotational Motion

269502 A stationary wheel starts rotating about its own axis at an angular acceleration\(5.5 \mathrm{rad} / \mathrm{s}^{2} \cdot\) To acquire an angular velocity 420 revolutions per minute, the number of rotations made by the wheel is

1 14
2 21
3 28
4 35
Rotational Motion

269503 A circular disc is rotating about its own axis at constant angular acceleration. If its angular velocity increases from\(210 \mathrm{rpm}\) to \(420 \mathrm{rpm}\) during 21 rotations then the angular acceleration of disc is

1 \(5.5 \mathrm{rad} / \mathrm{s}^{2}\)
2 \(11 \mathrm{rad} / \mathrm{s}^{2}\)
3 \(16.5 \mathrm{rad} / \mathrm{s}^{2}\)
4 \(22 \mathrm{rad} / \mathrm{s}^{2}\)
Rotational Motion

269504 A circular disc is rotating about its own axis at uniform angular velocity\(\omega\). The disc is subjected to uniform angular retardation by which its angular velocity is decreased to \(\omega / 2\) during 120 rotations. The number of rotations further made by it before coming to rest is

1 120
2 60
3 40
4 \(20 \mathrm{~S}\)
Rotational Motion

269505 Average torque on a projectile of mass \(m\), initial speed \(u\) and angle of projection \(\theta\) between initial and final positions \(P\) and \(Q\), about the point of projection is :

1 \(\frac{m u^{2} \sin 2 \theta}{2}\)
2 \(m u^{2} \cos \theta\)
3 \(m u^{2} \sin \theta\)
4 \(\frac{m u^{2} \cos \theta}{2}\)
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Rotational Motion

269502 A stationary wheel starts rotating about its own axis at an angular acceleration\(5.5 \mathrm{rad} / \mathrm{s}^{2} \cdot\) To acquire an angular velocity 420 revolutions per minute, the number of rotations made by the wheel is

1 14
2 21
3 28
4 35
Rotational Motion

269503 A circular disc is rotating about its own axis at constant angular acceleration. If its angular velocity increases from\(210 \mathrm{rpm}\) to \(420 \mathrm{rpm}\) during 21 rotations then the angular acceleration of disc is

1 \(5.5 \mathrm{rad} / \mathrm{s}^{2}\)
2 \(11 \mathrm{rad} / \mathrm{s}^{2}\)
3 \(16.5 \mathrm{rad} / \mathrm{s}^{2}\)
4 \(22 \mathrm{rad} / \mathrm{s}^{2}\)
Rotational Motion

269504 A circular disc is rotating about its own axis at uniform angular velocity\(\omega\). The disc is subjected to uniform angular retardation by which its angular velocity is decreased to \(\omega / 2\) during 120 rotations. The number of rotations further made by it before coming to rest is

1 120
2 60
3 40
4 \(20 \mathrm{~S}\)
Rotational Motion

269505 Average torque on a projectile of mass \(m\), initial speed \(u\) and angle of projection \(\theta\) between initial and final positions \(P\) and \(Q\), about the point of projection is :

1 \(\frac{m u^{2} \sin 2 \theta}{2}\)
2 \(m u^{2} \cos \theta\)
3 \(m u^{2} \sin \theta\)
4 \(\frac{m u^{2} \cos \theta}{2}\)