Home
Class 12
PHYSICS
Three identical balls are connected by l...

Three identical balls are connected by light inextensible strings with each other as shown and rest over a smooth horizontal table. Length of each string is `l`.
At moment `t = 0`, ball `B` is imparted a velocity `v_(0)` perpendicular to the strings and then the system is left on its own.

Calculate the velocity of `B` just before `A` collides with ball `C`.

Text Solution

Verified by Experts

from collision
`mv_(0)=3mv_(y)`
`v_(y)=(v_(0))/(3)`
From COE
`(1)/(2)mv_(0)^(2)=3(1)/(2)mv_(y)^(2)+2(1)/(2)mv_(x)^(2)`
`(1)/(2)mv_(x)^(2)(1-2(v_(0)^(2)2)/(9))=mv_(x)`
`v_(x)=(v_(0))/(sqrt(3))`
From frame of ball `B`,
`3T=(mv_(x)^(2))/(l)`
`:. T=(mv_(x)^(2))/(3l)=((3)(v_(0)^(2)))/(3xx3xx1)=1`
Promotional Banner

Similar Questions

Explore conceptually related problems

Three identical balls are connected by light inextensible strings with each other as shown and rest over a smooth horizontal table. Length of each string is l . At moment t = 0 , ball B is imparted a velocity v_(0) perpendicular to the strings and then the system is left on its own. Calculate the velocity of A at the above given instant.

Three identical balls are connected by light inextensible strings with each other as shown and rest over a smooth horizontal table. Length of each string is l . At moment t = 0 , ball B is imparted a velocity v_(0) perpendicular to the strings and then the system is left on its own. If collision between the balls is completely inelastic, then

Two particles each of mass m are connected by a light inextensible string and a particle of mass M is attached to the midpoint of the string. The system is at rest on a smooth horizontal table with string just taut and in a straight line. The particle M is given a velocity v along the table perpendicular to the string. Prove that when the two particles are about to collide : (i) The velocity of M is (Mv)/((M + 2m)) (ii) The speed of each of the other particles is ((sqrt2M (M + m))/((M + 2m)))v .

Two identical balls each of mass m interconnected by a small light inextensible string are kept on a smooth horizontal surface. One of the balls is pushed towards the other with a speed v_(0) find the loss of K.E. of the ball. What will be the final velocities of the balls ? (e=1).

Two identical small balls, each of mass m , are connected by a massless and inextensible string of length l and placed on a smooth horizontal xy plane. An external agent pulling the string from its mid-point along y -axis with velocity v_(0) as shown in Fig. When the separation between the two balls reduces to l//2 then the speed of each ball will be

A bead is connected with a fixed disc of radius R by an inextensible massless string in a smooth horizontal plane. If the bead is pushed with a velocity v_(0) prependicular to the string, the bead moves in a curve and consequently collapses on the disc. Then

Two masses A and B connected with an inextensible string of length l lie on a smooth horizontal plane. A is given a velocity of vm//s along the ground perpendicular to line AB as shown in figure. Find the tension in string during their subsequent motion

A block of mass m is tied to a string of length L and the assembly is kept on a smooth horizontal table as shown in the figure. Now the other end of the string is moved with a constant velocity v_(0)hatj . ( xy plane is the plane of the table) Then

A uniform circular ring of mass m and radius R is placed freely on a horizontal smooth surface as shown in figure. A particle of mass m is connected to the circumference of the ring with massless string . The particle is imparted velocity v_0 perpendicular to length of string as shown. If T is tension in the string just after the particle imparted velocity , then Acceleration of point P at this instant , is

Two charged particles having charge 2.0xx 10^(-8)C each are joined by an insulating string of length 1 m and the system is kept on a smooth horizontal table. Find the tension in the string.