Q. No.
1. \(4 ~\text {cm}\)
2. \(6 ~\text {cm}\)
3. \(8 ~\text {cm}\)
4. \(12 ~\text {cm}\)
1. the same throughout the motion.
2. minimum at the highest position of the circular path.
3. minimum at the lowest position of the circular path.
4. minimum when the rope is in the horizontal position.
1. \({{m\omega^{2}r}\over{2}}\)
2. \(2m\omega^{2}r\)
3. \(m\omega^{2}r\)
4. \({{3}\over{2}}m\omega^{2}r\)
An object follows a curved (circular) path. The following quantities may remain constant during the motion.
| (A) | speed |
| (B) | velocity |
| (C) | acceleration |
| (D) | magnitude of acceleration |
Choose the correct option from the options given below:
| 1. | (A) and (B) |
| 2. | (B) and (C) |
| 3. | (C) and (D) |
| 4. | (A) and (D) |
A particle of mass m is tied to a string of length \(l\) and whirled into a horizontal plane. If the tension in the string is T, then the speed of the particle will be:
1.
2.
3.
4.
Two cars having masses m1 and m2 move in circles of radii r1 and r2 respectively. If they complete the circles in equal time, the ratio of their angular speeds ω1 / ω2 is
1. m1 / m2
2. r1 / r2
3. m1r1 / m2r2
4. 1
The position vector of a particle in a circular motion about the origin sweeps out equal area in equal time. Its
(a) velocity remains constant
(b) speed remains constant
(c) acceleration remains constant
(d) tangential acceleration remains constant
Choose the correct option:
1. (a) and (d)
2. (b) and (d)
3. (c) and (d)
4. (a) and (c)
(Take \({g}=10~\text{ms}^{-2})\)
1. \(0.4~\text{m/s}\)
2. \(2~\text{m/s}\)
3. \(0.2~\text{m/s}\)
4. \(4~\text{m/s}\)
| 1. | \(2.0~\text N\) | 2. | \(4.0~\text N\) |
| 3. | \(8.0~\text N\) | 4. | \(16~\text N\) |
1. \({R} \leq \frac{\mu{g}}{2 \omega^2} \)
2. \(R \leq \frac{\mu g}{\omega^2} \)
3. \(R \geq \frac{\mu g}{2 \omega^2} \)
4. \(R \geq \frac{\mu g}{\omega^2}\)
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