- 1(current)
Q. No.A motor that is switched on, accelerates uniformly from rest to a maximum speed of \(600~\text{rpm}\) in \(20~\text s.\) The angular acceleration is:
1. \(30~\text{rad/s}^2\)
2. \(30~\text{rev/s}^2\)
3. \(1~\text{rev/s}^2\)
4. \(\Large\frac12\)\(~\text{rev/s}^2\)
1. \(30~\text{rad/s}^2\)
2. \(30~\text{rev/s}^2\)
3. \(1~\text{rev/s}^2\)
4. \(\Large\frac12\)\(~\text{rev/s}^2\)
Subtopic: Â Rotational Motion: Kinematics |
 64%
Level 2: 60%+
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A uniform disc of mass \(M\) and radius \(R\) is fixed, so that it is free to rotate in its own plane, about the centre \(O.\) A force \(F\) is applied tangentially to the disc, continuously, for one complete revolution, starting from rest.
The time taken to complete a revolution is:
1. \(\begin{aligned}\sqrt{\dfrac{4\pi MR}{F}} \\ \end{aligned}\)
2. \(\begin{aligned}\sqrt{\dfrac{2\pi MR}{F}} \\ \end{aligned}\)
3. \(\begin{aligned}\sqrt{\dfrac{ MR}{F}} \\ \end{aligned}\)
4. \(\begin{aligned}\sqrt{\dfrac{MR}{2\pi F}} \\ \end{aligned}\)
The time taken to complete a revolution is:
1. \(\begin{aligned}\sqrt{\dfrac{4\pi MR}{F}} \\ \end{aligned}\)
2. \(\begin{aligned}\sqrt{\dfrac{2\pi MR}{F}} \\ \end{aligned}\)
3. \(\begin{aligned}\sqrt{\dfrac{ MR}{F}} \\ \end{aligned}\)
4. \(\begin{aligned}\sqrt{\dfrac{MR}{2\pi F}} \\ \end{aligned}\)
Subtopic: Â Rotational Motion: Kinematics |
 68%
Level 2: 60%+
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A uniform rod \((AB)\) of mass \(4~\text{kg}\) and length \(1.5~\text m,\) lies on a smooth horizontal surface. An impulse of \(6~\text{N-s}\) is delivered to the end \(A\) of the rod, perpendicular to \(AB,\) at the initial instant \((t=0).\)
Find a point on the rod which will be at rest, immediately after the impulse is delivered.
Find a point on the rod which will be at rest, immediately after the impulse is delivered.
| 1. | The point \(50~\text{cm}\) from \(A\) towards \(B\) |
| 2. | The point \(25~\text{cm}\) from \(A\) towards \(B\) |
| 3. | The point \(125~\text{cm}\) from \(A\) towards \(B\) |
| 4. | The point \(100~\text{cm}\) from \(A\) towards \(B\) |
Subtopic: Â Rotational Motion: Kinematics |
Level 3: 35%-60%
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Q. No.
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