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

Forces in the members of the truss, Forces in the members of the truss: ...

Forces in the members of the truss: Find out the forces in the members AB , BC , AC of the truss shown in the figure drawn adjacent. Sol.: First determin

Angle of twist is zero on the shaft, Angle of twist is zero on the shaft: ...

Angle of twist is zero on the shaft: A shaft 10 m long and 100 mm diameter during its length is fixed at the ends and is subjected to two opposite torques of 8 kN-m and 10 kN-

Determine the ratio between moment and load, Determine the ratio between mo...

Determine the ratio between moment and load: Any close coiled helical spring of circular section extends 1 mm while subjected to an axial load of W and then given an angular r

Vicker''s hardness test, V icke r ' s Hardness Test: This test is ...

V icke r ' s Hardness Test: This test is alike the Brinell test but uses different indenter. A square based pyramid of cone angle 136 ° is used. The applied load can be 5,

Ductile mid brittle material, Ductile mid brittle material: A mater...

Ductile mid brittle material: A material that can undergo large permanent deformation in tension, that is, it can be drawn into wires is called as ductile. A material which

Load diagram - shear force and bending moment, Loa d Diagram and BM D f...

Loa d Diagram and BM D fro m the Given SF D: Q: Shear force diagram of simply supported beam is given in the figure below.  Calculate the support reactions of beam and

Determine the maximum uniformly distributed load, Determine the maximum uni...

Determine the maximum uniformly distributed load: A timber beam 150 mm wide & 300 mm deep is supported simply over a span of 4 m. determine the maximum uniformly distribute

Projection welding, Projection Welding   This is a modified method o...

Projection Welding   This is a modified method of making single or multiple spot welds. Projection welds are made by providing an embossment or projection on one or both of

Data translation requirements, Data translation requirements: An appar...

Data translation requirements: An apparent indication that CAD data translation is now an accepted part of the complex mechanical design world is the emerging trend towards bu

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