Home
Class 12
PHYSICS
A lift of mass 'm' is connected to a r...

A lift of mass 'm' is connected to a rope which is moving upward with maximum acceleration 'a'. For maximum safe stress, the elastic limit of the rope is 'T'. The minimum diameter of the rope is
(g = gravitational acceleration)

A

`[(2m(g+a))/(piT)]^(1/2)`

B

`[(4m(g+a))/(piT)]^(1/2)`

C

`[(m(g+a))/(piT)]^(1/2)`

D

`[(m(g+a))/(2piT)]^(1/2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Similar Questions

Explore conceptually related problems

At which place on the earths surface in the gravitational acceleration maximum? Why?

With what minimum acceleration can a fireman slide down a rope whose breaking strength is (2//3) of his weight?

The maximum velocity and the maximum acceleration of a body moving in a simple harmonic oscillator are 2 m/s and 4 m//s^(2) . Then angular velocity will be

A metal wire of density rho floats on water surface horozontally. If is NOT to sink in water, then maximum radius of wire is proportional to (where, T=surface tension of water, g=gravitational acceleration)

A rocket with a lift-off mass 3.5xx10^4 kg is blasted upwards with an initial acceleration of 10m//s^2 . Then the initial thrust of the blast is

A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass m (m< < M) . When the car is at rest, the speed of transverse waves in the string is 60 ms^(-1) . When the car has acceleration a, the wave-speed increases to 60.5 ms^(-1) . The value of a, in terms of gravitational acceleration g, is closest to

A planet of mass 'm' moves in an elliptical orbit around an unknown star of mass 'M' such that its maximum and minimum distances from the star are equal to r_1 and r_2 respectively. The angular momentum of the planet relative to the centre of the star is

Three blocks with masses m, 2m and 3m, are connected by strings, as shown in the figure. After an upward fforce F is applied on block m, the masses move upward at constant speed v. What is the net force on the block of mass 2m? (g is the acceleration due to gravity)

A body of mass m is raised to a height 10 R from the surface of the earth, where R is the radius of the earth. Find the increase in potential energy. (G = universal constant of gravitational, M = mass of the earth and g= acceleration due to gravity)

A person of mass 60 kg stands on a weighing scale in a lift (elevator). What would the scale read if the elevator moves (i) up with a uniform speed of 5 m//s (ii) down with a uniform acceleration of 4 m//s^2 (iii) up with a uniform acceleration of 4 m//s^2 ? [Given : g = 10 m//s^2 ]