Find out tension in the rop, Mechanical Engineering

Find out tension in the rop:

Two blocks A and B are associated as shown in Figure (a). Mass of block A is 15 kg and this is resting on a surface having a coefficient of friction μ = 0.30. The mass of block B is equal to7 kg. The pulley is frictionless. Find out the acceleration of the mass B and tension in the rope.

1970_Find out tension in the rop.jpg

Solution

As the pulley is frictionless, the tension in the string shall be same and acceleration of A and B also shall be same. Let a be the acceleration and T the tension in the string.

Consider Free Body Diagram of both the bodies as shown in Figure. Consider equilibrium of body A.

∑ Fx  = 0, T = 15 a + μ N1

                    = 15 a + 0.3 N1 ----------- (1)

∑ Fy  = 0, N1 = 15 × 9.81

                     = 147.15 N            ----------- (2)

By Substituting in Eq. (1), we obtain

T = 15 a + 0.3 × 147.15

= 15 a + 44.145           ----------- (3)

 Now let us assume equilibrium of body B.

∑ Fy  = 0,                    T + 7a = 7 × 9.81

              T = 68.67 - 7 a            ------------- (4)

From Eqs. (3) and (4), we obtain

T = 15 a + 44.145 = 68.67 - 7 a

∴ 22 a = 24.525

∴ a = 1.115 m / sec.

By Substituting this value of a in either Eqs. (3) or (4), we obtain

T = 15 a + 44.145

= 15 × 1.115 + 44.145 = 60.87 N

Posted Date: 1/29/2013 2:24:36 AM | Location : United States







Related Discussions:- Find out tension in the rop, Assignment Help, Ask Question on Find out tension in the rop, Get Answer, Expert's Help, Find out tension in the rop Discussions

Write discussion on Find out tension in the rop
Your posts are moderated
Related Questions
what is crippling load in column and strut

The cockpit of a jet plane flying at a speed of 1200 km/hr is to be cooled by simple air cooling system. The cockpit is to be maintained at 25 0 C and pressure in the cockpit is 1

show that work and heat are path functions

(1) Huckel Theory: Using Huckel theory, write a program that solves for the molecular orbitals and energy levels in a conjugated or aromatic hydrocarbon (i.e. ethylene, butadiene,

Corollaries of first law of thermodynamics: First law of thermodynamics has significant corollaries. Cor ollary 1: (First Law for process). There exists property of

Car Management System: You have been approached by a Used Car Dealership who wishes to introduce an IT system to support their business. You are required to implement a protot

Example of Process Capability The specifications for one characteristic of a part call for its width to be 3.000 + 0.008 centimetres. The procedure has been run under controll

Working of Impulse turbine: The technique in which multiple system of rotors are keyed to a common shaft, in series and the steam pressure of jet velocity is absorbed in stage

An internal wheel B with 80 teeth is keyed to shaft F. A fixed internal wheel with 82 teeth is concentric with B. A compound wheel DE gear with two internal wheels, D has 28 teeth

Line of action of force: Sol.: The direction of force along the straight line through its point of application, in which force tends to move body to which it is applied. Thi