Define centripetal force.
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Top Questions on Circular motion
A body of mass $100 \;g$ is moving in a circular path of radius $2\; m$ on a vertical plane as shown in the figure. The velocity of the body at point A is $10 m/s.$ The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as $10 m/s^2$)
- JEE Main - 2025
- Physics
- Circular motion
- A body of mass 100 g is moving in a circular path of radius 2 m on a vertical plane as shown in the figure. The velocity of the body at point A is 10 m/s. The ratio of its kinetic energies at point B and C is: (Take acceleration due to gravity as 10 m/s\(^2\))
- JEE Main - 2025
- Physics
- Circular motion
If a body is performing uniform circular motion with velocity \( v \) and radius \( R \), then identify the true statements from the following:
A. Its velocity \( v \) is constant.
B. Acceleration is always directed towards the centre and its magnitude is \( a = \frac{v^2}{R} \).
C. Angular momentum is constant in magnitude but its direction keeps changing.
D. Angular velocity of the body \( = \frac{v}{R} \).
Choose the most appropriate answer from the options given below.- GAT-B - 2024
- Physics
- Circular motion
- A bob is whirled in a horizontal circle by means of a string at an initial speed of 10 rpm. If the tension in the string is quadrupled while keeping the radius constant, the new speed is:
- NEET (UG) - 2024
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- A particle is moving in a uniform circular motion of radius \( R \) with angular velocity \( \omega \) in the anti-clockwise direction. Another particle is also moving along the same circular path but in the clockwise direction with the same angular velocity \( \omega \). Suppose, both the particles start at \( t = 0 \) from the same point (R, 0) in opposite directions. The minimum time \( t \) after which the velocities of the two particles become orthogonal to each other is:
- Assam CEE - 2024
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Questions Asked in MH Board Class XII exam
The slope of the tangent to the curve \( x = \sin\theta \) and \( y = \cos 2\theta \) at \( \theta = \frac{\pi}{6} \) is ___________.
- MH Board Class XII - 2024
- Differentiation
- Evaluate: \[ I = \int \frac{5e^x}{(e^x + 1)(e^{2x} + 9)} \, dx. \]
- MH Board Class XII - 2024
- Integration
- A box with a square base is to have an open top. The surface area of the box is 147 cm\(^2\). What should its dimensions be in order that the volume is largest?
- MH Board Class XII - 2024
- Optimization
- If \( x = f(t) \) and \( y = g(t) \) are differentiable functions of \( t \), so that \( y \) is a function of \( x \) and \( \frac{dx}{dt} \neq 0 \), then prove that: \[ \frac{dy}{dx} = \frac{\frac{dy}{dt}}{\frac{dx}{dt}}. \] Hence find \( \frac{dy}{dx} \), if \( x = at^2 \), \( y = 2at \).
- MH Board Class XII - 2024
- Differentiation
Solve the following L.P.P. by graphical method:
Maximize:
\[ z = 10x + 25y. \] Subject to: \[ 0 \leq x \leq 3, \quad 0 \leq y \leq 3, \quad x + y \leq 5. \]- MH Board Class XII - 2024
- Linear Programming