Home
Class 11
PHYSICS
For what value of x, the point P on the ...

For what value of `x`, the point `P` on the rod of length `l = 6 m` has zero acceleration if a force `F` is applied at the end of rod as shown.

Text Solution

Verified by Experts

`a=F/m`

`alpha=tau/I=(Fl/2)/(ml^(2)//12)=(6F)/(ml)`
`a_(P)=a-ax=0`
`implies f/m-(6F)/(ml)=x=0impliesx=l/6=1m`
Promotional Banner

Topper's Solved these Questions

  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Subjective|13 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Single Correct|97 Videos
  • RIGID BODY DYNAMICS 1

    CENGAGE PHYSICS ENGLISH|Exercise Exercise 2.3|15 Videos
  • PROPERTIES OF SOLIDS AND FLUIDS

    CENGAGE PHYSICS ENGLISH|Exercise INTEGER_TYPE|2 Videos
  • RIGID BODY DYNAMICS 2

    CENGAGE PHYSICS ENGLISH|Exercise Interger|2 Videos

Similar Questions

Explore conceptually related problems

A uniform rod of mass M and length L lies flat on a frictionless horizantal surface. Two forces F and 2F are applied along the length of the rod as shown. The tension in the rod at point P is

Find the velocity of the moving rod at time t if the initial velocity of the rod is zero and a constant force F is applied on the rod.Neglect the resistance of the rod.

A rod of mass m and length l is hinged at one of its end A as shown in figure. A force F is applied at a distance x from A. The acceleration of centre of mass a varies with x as

A rod of mass m and length l is hinged at one of its ends A as shown in figure. A force F is applied at a distance x from A . The acceleration of centre of mass varies with x as -

A rod of mass m and length l is hinged at one of its ends A as shown in figure. A force F is applied at a distance x from A . The acceleration of centre of mass varies with x as -

A rod PQ of mass, area of cross section A, length l and young's modulus of elasticity Y is lying on a smooth table as shown in figure. A force Fis applied at P. Find (a) tension at a distance x from end P, (b) longitudinal stress at this point, (c) total change in length and (d) total strain the rod.

A thin uniform rod AB of mass m and length L is placed on a smooth horizontal table. A constant horizontal force of magnitude F starts acting on the rod at one of the ends AB , Initially, the force is perpendicular to the length of the rod. Taking the moment at which force starts acting as t=0 , find. (a) Distance moved by centre of mass of the rod in time t_(0) . (b) Magnitude of initial acceleration of the end A of the rod.

A uniform rod of length L and mass M is pivoted freely at one end and placed in vertical position. a. What is angular acceleration of the rod when it is at ann angle theta with the vertical? b. What is the tangential linear acceleration of the free end when the rod is horizontal?

A non-uniform rod AB has a mass M ad length 2l. The mass per unit length of the rod is mx at a point of the rod distant x from A. find the moment of inertia of this rod about an axis perpendicular to the rod (a) through A (b) through the mid-point of AB.

A rod of mass m and length L is hinged at its top end. If the rod is in equilibrium making an angle of 30^(@) with the vertical when a horizontal force F is applied as shown in figure, then the value of F is: