A bead of mass m is attached to one end ...

A bead of mass m is attached to one end of a spring of natural length R and spring constant `K=((sqrt(3)+1)mg)/(R )`. The other end of the spring is fixed at a point A on a smooth vertical ring of radius R as shown in fig. The normal reaction at B just after it is released to move is

`(mg)/(2)`

`sqrt(3) mg`

`3 sqrt(3) mg`

`(3 sqrt(3) mg)/(2)`

Text Solution

Verified by Experts

The correct Answer is:

Topper's Solved these Questions

CIRCULAR MOTION
DC PANDEY|Exercise More than One Option is Correct|13 Videos
CIRCULAR MOTION
DC PANDEY|Exercise Comprehension|13 Videos
CIRCULAR MOTION
DC PANDEY|Exercise JEE Main|23 Videos
CENTRE OF MASS, LINEAR MOMENTUM AND COLLISION
DC PANDEY|Exercise Level 2 Subjective|21 Videos
COMMUNICATION SYSTEM
DC PANDEY|Exercise Only One Option is Correct|27 Videos

Similar Questions

Explore conceptually related problems

A Bead of mass m is attached to one end of a spring of natural length 'R' and spring cosntant 'k=((sqrt3+1)mg)/R' . The other end of the spring is fixed at point 'A' on a smooth vertical ring of radius 'R' as shown

A bead of mass 'm' is attached to one end of a spring of natural length R & spring constant k = ((sqrt3 + 1))/(R) . The other end of the spring is fixed at point A on a smooth vertical ring of radius R as shown. The normal reaction at B just after it is released to move is

A block of mass 'm' is attached to a spring in natural length of spring constant 'k' . The other end A of the spring is moved with a constat velocity v away from the block . Find the maximum extension in the spring.

A bead of mass m can slide without friction on a fixed circular horizontal ring of radius 3R having a centre at the point C. The bead is attached to one of the ends of spring of spring constant k. Natural length of spring is R and the other end of the spring is R and the other end of the spring is fixed at point O as shown in the figure. If the bead is released from position A, then the kinetic energy of the bead when it reaches point B is

A ring of mass m is attached to a horizontal spring of spring constant k and natural length l_0 . The other end of the spring is fixed and the ring can slide on a horizontal rod as shown. Now the ring is shifted to position B and released Find the speed of the ring when the spring attains its natural length.

A block ofmass m is attached with a spring in its natural length, of spring constant k. The other end A of spring is moved with a constant acceleration 'a' away from the block as shown in the figure -3.74 . Find the maximum extension in the spring. Assume that initially block and spring is at rest w.r.t ground frame:

A small block of mass m, can move without friction on the outside of a fixed vertical circular track of radiusR. The block is attached to a spring of natural length R//2 and spring constant K. The other end of spring is connected to a point at height R//2 directly above the centre of track. If the block is released from rest when the spring is in horizontal state (see figure) then at that moment,

A small block of mass m, can move without friction on the outside of a fixed vertical circular track of radiusR. The block is attached to a spring of natural length R//2 and spring constant K. The other end of spring is connected to a point at height R//2 directly above the centre of track. If the complete stup is in a gravity free space, then the minimum speed (v_(0)) required at the highest point A to just reach the lowest point is

A small block of mass m, can move without friction on the outside of a fixed vertical circular track of radiusR. The block is attached to a spring of natural length R//2 and spring constant K. The other end of spring is connected to a point at height R//2 directly above the centre of track. Consider block to be at rest at top most point A of track. If the block is slowly pushed from rest at the highest A. When the spring reaches in horizontal state, then.

A block of mass m is attached to one end of a mass less spring of spring constant k. the other end of spring is fixed to a wall the block can move on a horizontal rough surface. The coefficient of friction between the block and the surface is mu then the compession of the spring for which maximum extension of the spring becomes half of maximum compression is .

DC PANDEY-CIRCULAR MOTION-JEE Advanced

A particle is given an initial speed u inside a smooth spherical shell...
Text Solution
|
A bob is suspended from a crane by a cable of length l=5 m. The crane ...
Text Solution
|
A smooth spehre of radius R is made to translate oin a straight line w...
Text Solution
|
Two bodies of masses m and 4 m are attached with string as shown in th...
Text Solution
|
Two beads A and B of equal mass m are connected by a light inextensibe...
Text Solution
|
A small block of mass m is released from rest from point A inside a sm...
Text Solution
|
An automobile enters a turn whose radius is R. The road is banked at a...
Text Solution
|
A ball of mass 1 kg is released from position A inside a wedge with a ...
Text Solution
|
A partical of mass m oscillates along the horizontal diameter AB insi...
Text Solution
|
A bead of mass m is attached to one end of a spring of natural length ...
Text Solution
|
In the above problem, tangential acceleration of the bead just after i...
Text Solution
|
A particle is moving in a circular path. The acceleration and momentum...
Text Solution
|
A ball of mass m is rotating in a circle of radius r with speed v insi...
Text Solution
|
A block of mass m=1kg has a speed v = 4 m//s at theta = 60^(@) on a ci...
Text Solution
|
Two blocks of masses 1 kg and 2 kg are joined by a massless inextensib...
Text Solution
|
Two different blocks of equal mass m are released from two positions a...
Text Solution
|
A small collar of mass m is given an intial velocity of magnitude v(0...
Text Solution
|
A small ball is rolled with speed u from piont A along a smooth circul...
Text Solution
|
A smooth circular track of mass M is vertically hung by a string down ...
Text Solution
|
A particle of mass m, moving in a circle of radius R, has a velocity v...
Text Solution
|