Rotational Dynamics — Practice Quiz
Maharashtra Board · Class 12 · Physics
Try a 4-question quiz on Rotational Dynamics for Maharashtra Board Class 12 Physics: tap an answer to check it and see why.
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Quick Quiz: Rotational Dynamics
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A particle moves in a circle of radius 2 m with uniform speed 4 m/s. What is the centripetal acceleration?
A car takes a turn of radius 50 m at 36 km/h. What is the centripetal force if the mass of car is 1000 kg?
The moment of inertia of a uniform disc of mass M and radius R about its central axis is:
A wheel of moment of inertia 2 kg·m² rotates at 300 rpm. What is its angular momentum?
Sample Questions
Which of the following are characteristics of uniform circular motion?
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Constant speed, Acceleration directed towards center, Periodic motion
In UCM, speed is constant but velocity changes direction continuously. Centripetal acceleration is always directed towards center. The motion repeats in equal intervals of time.
Which of the following affect the moment of inertia of an object?
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Mass of the object, Distribution of mass, Axis of rotation
Moment of inertia depends on mass, how that mass is distributed relative to the axis, and the position of the axis. Angular velocity and material properties don't affect I directly.
A conical pendulum makes angle 60° with the vertical. If the string length is 1 m, what is the period of revolution? (Use g = 10 m/s²)
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π s
For conical pendulum, T = 2π√(L cos θ/g) = 2π√(1 × cos 60°/10) = 2π√(1 × 0.5/10) = 2π√(0.05) = 2π × √(1/20) = 2π/√20 = 2π/(2√5) = π/√5 ≈ π s
In vertical circular motion, the minimum speed at the topmost point for a particle tied to a string is:
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√(rg)
At the topmost point, for minimum speed, tension becomes zero. So mg = mv²/r, which gives v = √(rg)
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