Tension in the string and acceleration of body, Mechanical Engineering

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

Posted Date: 10/19/2012 9:19:13 AM | Location : United States







Related Discussions:- Tension in the string and acceleration of body, Assignment Help, Ask Question on Tension in the string and acceleration of body, Get Answer, Expert's Help, Tension in the string and acceleration of body Discussions

Write discussion on Tension in the string and acceleration of body
Your posts are moderated
Related Questions
Illustrates about the need for reinforcement? NEED FOR REINFORCEMENT Concrete is economical and durable and is currently universally utilized for footings. Plain concrete is


(Bernoulli equation along a streamline) Water flows from station (1) to (2) around an expanding corner pipe, 3m high. The speed along the center streamline is 10 m/s at (1) and 5

In most hardware stores, you can find what has known as a Heat Gun. Hold the heat gun about 6 inches away from the acrylic you intend on bending say the bumper on a car. They are p

Cases of equilibrium: What are cases of equilibrium? Sol.: As a result of the acting forces, the body may be having one of the following states: (1) The body can mo

how I can do with matlab to solve problems by this theorm

Motorcycle, we have learnt about the various parts of a motorcycle and their functions. Technical specifications of various models of motorcycles launched by the HHML were also not

Proof that energy is a property of system

Resolve a force system in to single force: Resolve a force system in to single force and a couple systems. Also explain the Equivalent force couple system. Or 'A

(a) Show following complex numbers in Rectangular forms : (i) 5e 0.927j (ii) 10e 4.068j (b) Show the periodic functions by Fourier series (Harmonic series).