Home
Class 12
PHYSICS
A bead is contrained to move on rod in g...

A bead is contrained to move on rod in granvity free space as shown in figure. The rod rotating with ,angular velocity and angulnr acceleration `alpha` about its end. If `mu` is coefficient of friction. Mark the correct option. ( Rod rotates in the plane of paper.)

A

If `mu=(omega^(2))/(alpha)` friction ion on bead is static in nature

B

If `mu gt=(omega^(2))/(alpha)` friction on bead is kinetic in nature

C

If `mu lt=(omega^(2))/(alpha)` friction is static

D

If bead does not slide relative to rod. Friction will not exist between bead and rod.

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

A long horizontal rod has a bead which can slide along its length and initially placed at a distance L from one end A of the rod. The rod is set in angular motion about A with constant angular acceleration alpha. if the coefficient of friction between the rod and the bead is mu , and gravity is neglected, then the time after which the bead starts slipping is

Two blocks of mass m_(1)=10kg and m_(2)=5kg connected to each other by a massless inextensible string of length 0.3m are placed along a diameter of the turntable. The coefficient of friction between the table and m_(1) is 0.5 while there is no friction between m_(2) and the table. the table is rotating with an angular velocity of 10rad//s . about a vertical axis passing through its center O . the masses are placed along the diameter of the table on either side of the center O such that the mass m_(1) is at a distance of 0.124m from O . the masses are observed to be at a rest with respect to an observed on the tuntable (g=9.8m//s^(2)) . (a) Calculate the friction on m_(1) (b) What should be the minimum angular speed of the turntable so that the masses will slip from this position? (c ) How should the masses be placed with the string remaining taut so that there is no friction on m_(1) .

A rod PQ of mass M and length L is hinged at end P. The rod is kept horizontal by a massless string tied to point Q as shown in figure. When string is cut, the initial angular acceleration of the rod is

A ring rotates about z axis as shown in figure. The plane of rotation is xy. At a certain instant the acceleration of a particle P (shown in figure) on the ring is (6hat(i)-8hat(j)) m//s^(2) . Find the angular acceleration of the ring & the abgular velocity at that instant. Radius of the ring is 2m.

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 bead slides on a frictoinless strainght rod fixed between points A and B of a vertical circular loop of radius as shown in the figure. Line BC is a vertical diameter. Denoting acceleration due to gravity by g , which of the following is correct expression for the time taken by the bead to slide from A to B

A uniform thin rod AB of mass M and length l attached to a string OA of length (l)/(2) is placed on a smooth horizontal plane and rotates with angular velocity omega around a vertical axis through O. A peg P is inserted in the plane in order that on striking it the bar will come exactly to rest

A block of mass m = 20 kg is kept is a distance R = 1m from central axis of rotation of a round turn table (A table whose surface can rotate about central axis). Table starts from rest and rotates with constant angular acceleration, alpha = 3 rad//sec^(2) . The friction coefficient between block and table is mu = 0.5 . At time t = (x)/(30) from starting of motion (i.e. t =0) the block is just about to slip. Find the value of x (g = 10 m//s^(2))

A block of mass m1 = 1 kg another mass m2 = 2 kg, are placed together (see figure) on an inclined plane with angle of inclination theta . Various values of theta are given in List I. The coefficient of friction between the block m_(1) and the plane is always zero. The coefficient of static and dynamic friction between the block m_(2) and the plane are equal to mu = 0.3 . In List II expressions for the friction on block m_(2) are given. Match the correct expression of the friction in List II with the angles given in List I, and choose the correct option. The acceleration due to gravity is denoted by g [Useful information : tan (5.5^(@)) ~~ 0.1, tan (11.5^(@)) ~~ 0.2 , tan (16.5^(@))~~ 0.3 ].

A uniform rod of mass m and length l rotates in a horizontal plane with an angular velocity omega about a vertical axis passing through one end. The tension in the rod at a distance x from the axis is