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


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
1.  Given the data below, design IA-32 instructions to copy data in array X to array Y.   .data X   sdword   10,30,40,-10,-20,-4,-50 Y   sdword   7 dup (?)    2.  Given

Structural notches In t he case of solid solution strengthened alloys and age hardenabled steel, the variation in heat i/o during welding may cause localized grain coarsening o

(a) Describe that internal energy is property of the system. (b) one kg of air at 1 bar and 300k is compressed adiabatically till its pressure becomes 5 times the original press

State the Planning the foundation for reciprocating engines i)  The eccentricity of  the common centre of gravity of machine and foundation referred to the centroid of base are

Q. Expected service life of a component in high temperature environment? The expected service life of a component in a high temperature environment is limited by either the mat

Consider a particle and its path of travel.The position of a particle P at any time t can be described by specifying its: (a)Rectangular coordinates; X,Y,Z (b)Cylindrical coordinat

Simply supported beam -  Bending Moment: Sketch the SFD and BMD for a simply supported beam of 15 m span loaded as illustrated in Figure Figure Solution Tak

calculate the vertical reaction at A in Newtons

1) Factor of Safety is calculated by using which of the following set of values? [Select the one best answer from the choices given below.] Answer a. Yield Stress and Allowable St

What is Principle of superposition (Uniform cross-section s/t multiple loads)