Home
Class 11
PHYSICS
Distance does not depend on a) Initial...

Distance does not depend on _______
a) Initial point
b) Final point
c) Path taken
d) Speed

Text Solution

Verified by Experts

The correct Answer is:
A, B, C
a.Let the velocity at B be `v_2`
`1/2 mv_1^2=1/2mv_2^2+mgl`
`rarr 1/2m(10gl)=1/2mv_2^2+mgl`
`v_2^2=8gl`

so the tension in the string at horizontal position
`T=(mv^2)/R=m(8gl)/l`
`=8mg`
b. Let the velocity at C be `v_3`
`1/2 mv_1^2 = 1/2 mv_3^2+mg2l`
`rarr 1/2 m 10 gl = 1/2 mv_3^2+2mgl`
`rarr v_3^2=6gl`
So, the tension in the string is given by
`T_C=(mv_3^2)/l-mg=5mg`
c. Let the velocity at point D be `v_4
Again `1/2 mv_1^2=1/2 mv_4^2+mgl(1+cos60^0)`
`rarr v_4^2=7gl`
so, the tension in the string is
`T_D=(mv^2)/l-mgcos 60^0`
`=m(7gl)/l-0.5 mg`
`=7mg=0.5mg`
`6.5 mg`
Promotional Banner

Similar Questions

Explore conceptually related problems

Show that moment of a couple does not depend on the point about which you take the moments.

An object thrown at a certain angle to the ground moves in a curved path and falls back to the ground. The initial and the final points of the path of the object lie on the same horizontal line. What is the work done by the force of gravity on the object?

A point charge +q, is placed at a distance d from an isolated conducting plane. The field at a point P on the other side of the plane is

Find out the shift in point B, C and D

A projectile fired at an angle of 45^(@) travels a total distance R, called the range, which depends only on the initial speed v and the acceleration of gravity g. Using dimensional analysis, find how R depends on the speed and on g.

A particle starts from point x = (-sqrt(3))/(2)A and move towards negative extreme as shown, (a) Find the equation of the SHM (b) Find the time taken by the particle to go directly from its initial position to negative extreme. (c) Find the time taken by the particle to reach at mean position.

Assertion: Distance is a actual length of the path but displacement is a shortest distance between initial and final position. Reason: Distance is a scalar quantity and it is always positive but displacement is a vector quantity. It may be positive, negative or zero.