Tension in the string and acceleration of body, Mechanical Engineering

Assignment Help:

Tension in the string and acceleration of body:

The two bodies weighing 300N and 450N are hung to two ends of the rope passing over an ideal pulley as shown in the figure given below. With what acceleration will heavier body come down? What is tension in the string?

Sol: As string is light, inextensible and frictionless, so tension in the string on both the side is equal to T, let acceleration of both block is 'a'.

116_Tension in the string and acceleration of body.png

Let block weighting 450N moves down,

Consider motion of 450N block, Apply relation, F = ma

450 - T = (450/9.81) a

450 - T = 45.87a                                                                                                                                 ...(i)

Consider motion of 300N block,

Apply the relation, F = ma

T - 300 = (300/9.81) a

T - 300 = 30.58a                                                                                                                               ...(ii)

Add equation (1) and (2)

150 = 76.45a

a = 1.962m/sec2                                                                                              .......ANS

Putting value of a in equation (i),

T = 360N                                                                           .......ANS


Related Discussions:- Tension in the string and acceleration of body

Advance dynamics, Ask question i have an assisgment can you please tell me ...

Ask question i have an assisgment can you please tell me how much does it cost #Minimum 100 words accepted#

Fluid Mechanics, Please help me solve the following problem. Steam is thro...

Please help me solve the following problem. Steam is throttled from a pressure of 700kPa to 100kPa and a temp. of 100 degrees Celsius. Determine the dryness factor of the steam

Which three principal possible in radial drilling machine, Which three prin...

Which three principal possible in radial drilling machine Between them the plain drill machine, three principal movements are possible in this type of machine, by vertical move

Define the skid fabrication, Q. Define the skid fabrication? Unless not...

Q. Define the skid fabrication? Unless noted otherwise in this specification, skid fabrication shall be in accordance with GS-904-0510, GS-904-0511 and GS-904-0515. Dimensio

Explain reaction turbine and impulse turbine, Differentiate Reaction turbin...

Differentiate Reaction turbine and Impulse turbine (steam turbines) (b) In a De Laval turbine, steam issue from the nozzle with a velocity of 850 m/s. The nozzle angle is 20 o C

Coefficient expansion of transformer oil, What is the coefficient expansion...

What is the coefficient expansion of transformer oil? Ans) Transformers can be filled with several types of Refined Mineral Oil. That coefficient is something you would find in

Flow rate, how to calculate flow rate of liquid nitrogen? melting point(-21...

how to calculate flow rate of liquid nitrogen? melting point(-210deg) boiling point(-195.8deg) critical temp(-149.9deg) relative density(0.8) specific gravity(808.5kg/m^3) rel

Electron beam welding process and its applications, ELECTRON BEAM WELDING P...

ELECTRON BEAM WELDING PROCESS AND ITS APPLICATIONS   Electron Beam Welding (EBW) is one of the advanced welding technologies required for the precision welding applications

Determine the stresses in each rod, A rigid bar ABCD is hinged at A and sup...

A rigid bar ABCD is hinged at A and supported by a bronze rod, 2m long, and a steel rod 1m long as shown in figure A load of 80 KN is applied at end B. Determine the stresses in ea

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