Home
Class 12
PHYSICS
As shown in the figure, a rod moves with...

As shown in the figure, a rod moves with v = 2 m/sec & rotates with `omega = 2pi` rad/sec. Find the point on the rod whose velocity is zero in this frame.

Text Solution

Verified by Experts

`v_(P) = 0`
`rArr" "|vec(V)_(PO) + vec(v)_(o) = 0`
`rArr " "v_(PO) - v_(O) = 0 rArr " "v_(PO) = v_(o)`
where `v_(O) = v & v_(PO) = (OP) omega`
`rArr" "(OP)omega = v`
`rArr" "OP = (v)/(omega) = (2)/(2.pi) = (1)/(pi) m`.
The point is located at `(1)/(pi)` m down to the centre of mass.
Promotional Banner

Topper's Solved these Questions

  • ROTATIONAL MECHANICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE ) LEVEL - I|15 Videos

  • ROTATIONAL MECHANICS

    FIITJEE|Exercise ASSIGNMENT PROBLEMS (SUBJECTIVE ) LEVEL - II & III|15 Videos

  • ROTATIONAL MECHANICS

    FIITJEE|Exercise NUMERICALS BASED QUESTIONS|4 Videos

  • PHYSICS PART2

    FIITJEE|Exercise Numerical Based Question Decimal Type|6 Videos

  • SEMICONDUCTOR AND DEVICE

    FIITJEE|Exercise SOLVED PROBLEMS Objective: Level-I|20 Videos

Similar Questions

Explore conceptually related problems

Shown in the figure is rod which moves with v=2ms^(-1) and rotates with omega=2pirads^(-1) . Find the instantaneous axis of rotation.

A rod has length 'l' and mass per unit length linearly increases from lamda to 2 lamda as shown in figure. Rod rotates with constant angular velocity omega in a gravity free space. Find the tension (in Newton) in the rod at its middle point. (take omegal=2m//sec and lamda = 3 kg//m )

A midpoint of a thin uniform rod AB of mass m and length l is rigidly fixed to a rotation axle OO^' as shown in figure. The rod is set into rotation with a constant angular velocity omega . Find the resultant moment of the centrifugal forces of inertia relative to the point C in the reference frame fixed to the axle OO^' and to the end.

A uniform rod of mass m and length L is fixed to an axis, making an angle theta with it as shown in the figure. The rod is rotated about this axis so that the free end of the rod moves with a uniform speed ‘v’. Find the angular momentum of the rod about the axis. Is the angular momentum of the rod about point A constant?

A rod having length l and resistance R is moving with velocity v on a pi shape conductor. Find the current in the rod.

The rod of length l=1 m rotates with an angular velocity omega=2 rads^(-1) an the point P moves with velocity v=1ms^(-1) and acceleration a=1ms^(-2) . Find the velocity and acceleration of Q .

A uniform rod AB of mass m and length L rotates about a fixed vertical axis making a constant angle theta with it as shown in figure. The rod is rotated about this axis, so that point B the free end of the rod moves with a uniform speed V in the horizontal plane then the angular momentum of the rod about the axis is: