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

Laminar flow, Consider fully developed laminar flow with constant propertie...

Consider fully developed laminar flow with constant properties in a circular tube. Let there be heat transfered  to or from  the fluid at a constant rate per unit of tube length.Ad

Determine strap beam with suitable demonstration, Determine strap beam with...

Determine strap beam with suitable demonstration. Here observe that R e becomes greater than P e by a magnitude of V while R i becomes less than P i by a magnitude equal to

Harmonic motion equilibrium, (a) Split up the harmonic x = 8 sin(ωt + 45°),...

(a) Split up the harmonic x = 8 sin(ωt + 45°), into two harmonic motions, one of which has amplitude of 10 and phase difference zero. (a) A body is subjected to two harmonic mot

Find the velocity of spacecraft, A space craft ‘A' has velocity 0.9 c relat...

A space craft ‘A' has velocity 0.9 c relative to the earth. Another spacecraft ‘B' overtakes A with relative velocity 0.5 c. Find the velocity of spacecraft B relative to the groun

Determine the forces in members in roof truss, Determine the Forces in Memb...

Determine the Forces in Members in Roof Truss Determine the forces in members EF, EL, FL, and LK in the roof truss shown below and state whether the members are in tension or

Define oxidation process, Q. Define Oxidation Process? Oxidation is def...

Q. Define Oxidation Process? Oxidation is defined as a loss of electrons, as when a metal goes from the metallic state to the corroded state. When a metal reacts with oxygen,

Klein''s construction, what is the velocity and acceleration when connectin...

what is the velocity and acceleration when connecting rod and crank are mutually perpendicular?

Either wheel is wobbling motorcycle problem, If Either Wheel is Wobbling ...

If Either Wheel is Wobbling Causes of Problem Remedy Excessive wheel bearing play Distorted rim Improperly

Calculate the final velocities of the two masses, Calculate the final veloc...

Calculate the final velocities of the two masses: A mass of 10 kg moving along with a velocity of 10 m/sec along x direction follows another mass of 4 kg moving with 5 m/sec i

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