Home
Class 12
PHYSICS
A massive horizontal platform is moving ...

A massive horizontal platform is moving horizontally with a constant acceleration of `10 m//s^(2)` as shown in the figure. A particle P of mass `m=1` kg is kept at rest on a smooth surface as shown in the figure. The particle is hinged at O with the help of a massless rod OP of length 0.9 m. Hinge O is fixed on the platform and the rod can freely rotate about O. Now the particle P is imparted a velocity in the opposite direction of the platform's acceleration such that it is just able to complete the circular motion about point O. Then the maximum tension (in N) appearing in the rod during the motion is 10 n. Find the value of `n`

Text Solution

Verified by Experts

Required velocity of `P` for completing the cycle at the instant, when `OP` is along the direction of motion of platform is
`v_(min)=sqrt(4xx10xx0.9)=6m//s`
So `T-ma=(mv_(min)^(2))/(l)`
`T=10+((1)36)/(0.9)=10+40=50N`
Promotional Banner

Similar Questions

Explore conceptually related problems

A block of mass 10 kg, moving with acceleration 2m//s^(2) on horizontal rough surface is shown in figure

A rod OA is suspended with the help of a massless string AB as shown in figure. Rod is hinged at point O . Draw free body diagrame of the rod.

A particle of mass m is doing horizontal circular motion with the help of a string (conical pendulum) as shown in the figure. If speed of the particle is constant then,

A particle of mass m is placed at rest on the top of a smooth wedge of mass M, which in turn is placed at rest on a smooth horizontal surface as shown in figure. Then the distance moved by the wedge as the particle reaches the foot of the wedge is :

A block of mass m rests on a stationary wedge of mass M. The wedge can slide freely on a smooth horizontal surface as shown in figure. If the block starts from rest

A rod mass (M) hinged at (O) is kept in equilibrium with a spring of stiffness (k) as shown in figure. The potential energy stored in the spring is .

Two particles of masses m and 2m are attached to the massless rod of length 2l as shown in figure. The rod is hinged at its midpoint O and is free to rotate in vertical plane about hinge. The minimum speed v at the given instant so that it can complete the circle.

Two particles each of mass M are connected by a massless rod. The rod is lying on the smooth horizontal surface. If one of the particle is given an impulse MV as shown in the figure then angular velocity of the system would be:

Uniform rod AB is hinged at the end A in a horizontal position as shown in the figure ( the hinge is frictionless that is , it does not exert any friction force on the rod ) . The other end of the rod is connected to a block through a massless string as shown. The pulley is smooth and massless . Masses of the block and the rod are same and are equal to 'm' . Then just after released of block from this position, the angular acceleration of the rod is

A block of mass 20 kg is set into motion on a frictionless horizontal surface with the help of massless smooth pulley and rope as shown in the figure. Find the acceleration of the pulley