Calculate the force - pulley, Mechanical Engineering

Assignment Help:

Calculate the force - pulley:

A string is passing over a smooth pulley. The string supports the mass m on one side which is to be pulled up with acceleration a. calculate the force T which must be applied at the end B of the string AB. Treat the block as a particle.

Solution

Figure (b) shows the free body diagram of the mass. The forces acting on it shall be the tension T in the string and the weight mg of the block. Since the block moves upwards, the inertia force Fi = - ma will be directed downwards. The block may be considered in equilibrium under the action of forces T, mg and ma.

          ∴ T - m g - m a = 0

or         T = m a + m g

                = m (a + g )

Therefore, the tension T to be applied to the end B shall equal to T = m (a + g ).


Related Discussions:- Calculate the force - pulley

Find out the reactions at hinge, Find out the reactions at hinge: A bo...

Find out the reactions at hinge: A board ABCD is held in position as shown in Figure by a cable BE and a hinge at A. If the weight of the board is 5 kN, find out the reactions

Loads analysis, Complete the following problem from the text by Megson.  No...

Complete the following problem from the text by Megson.  Note that since the answers are given, it is essential that you show and justify all work to receive full credit.  Required

Determine force on a body to pull or push, Determine force on a body to pul...

Determine force on a body to pull or push: Q: A wooden block having weight of 50N rests on the horizontal plane. Determine force required which is acted at an angle of 15° to

Power sources-modern arc welding power sources, MODERN ARC WELDING POWER SO...

MODERN ARC WELDING POWER SOURCES Recent advances in the field of solid state power electronics have helped to improve the status of welding power sources. With the development rel

Explain interference between two mating gears, What do you understand by in...

What do you understand by interference between two mating gears ? if interference between two involutes gears is to be avoided then show that the maximum length of arc of contact w

Find out the recoil-velocity of the gun, Find out the recoil-velocity of th...

Find out the recoil-velocity of the gun: As shell of mass 200 gm is fired at a velocity of 50 metres/second by a gun of mass 20 kg. Find out the recoil-velocity of the gun.

Moment of resistance, Explain the Moment of resistance? Sol.: The two...

Explain the Moment of resistance? Sol.: The two equal and unlike parallel forces, the lines of action of which are not same, form couple. The resultant compressive force ( P

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd