Exams › NEET › Physics

A weightless thread can bear tension up to 3.7 kg-wt. A stone of mass 500 g is tied to it and revolved in a circular path of radius 4 m in a vertical plane. If $g=10\,\text{m/s}^2$, then the maximum angular velocity of the stone will be:

1. 4 radians/s
2. 16 radians/s
3. 21 radians/s
4. 2 radians/s

Correct answer: 4 radians/s

Solution

The maximum tension is $3.7$ kg-wt $=37$ N. For a stone in vertical circular motion, the maximum tension occurs at the lowest point: $T=\frac{mv^2}{r}+mg$. Using $m=0.5$ kg, $r=4$ m, and $g=10$ m/s² gives $v=16$ m/s, so $\omega=v/r=4$ rad/s.

Related NEET Physics questions

• A stone tied to a string of length 80 cm is whirled in a horizontal circle at constant speed, completing 14 revolutions in 25 s. What is the magnitude of the centripetal acceleration of the stone?
• A coin on a rotating turntable begins to slip when placed 4 cm from the center. If the turntable's angular speed is doubled, at what distance from the center will the coin just start to slip?
• The angular displacement of a rotating body is described by $\theta(t) = \omega_0 t + \frac{1}{2}\alpha t^2$, where $\omega_0 = 1\ \text{rad/s}$ and $\alpha = 1.5\ \text{rad/s}^2$. What is the angular velocity of the body at $t = 2\ \text{s}$?
• A coin rests on a gramophone record rotating at angular velocity \(\omega\). The coefficient of static friction is \(\mu\). The coin rotates without slipping if its distance \(r\) from the center satisfies:
• Two racing cars of masses \(m_1\) and \(m_2\) travel in circles of radii \(r_1\) and \(r_2\), respectively. Both complete one full revolution in the same time period \(t\). What is the ratio of the angular speed of the first car to the second car?
• A wheel starts from rest and undergoes uniform angular acceleration, reaching an angular velocity of 80 rad/s after 5 seconds. What is the total angular displacement of the wheel during this time?

⚔️ Practice NEET Physics free + battle 1v1 →