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 do u you understand by steady state?

Constructiona l Details of Two Stroke Engine: The basic components are cylinder, piston, piston liners, connecting rod, piston rings, crank pin, crank shaft, counter weight e

Lifting machines: Basic definitions of the lifting machines and some lifting machines have been described. For each of these machines, derivation of the formulae for mechanica

Inconel Electrodes These electrodes are used in the industries, like petrochemical, fertiliser, etc. The weld composition contain small percentage of alloying elements like V, Mo

1) State five factors that must be considered when choosing a material. Discuss the importance to the engineer of each of these factors. 2) An engineer is planning to design a s

Reassembly Position of Critical Parts:  Care should be taken to note the position of the unidirectional parts while dismantling the engine. This will ensure dimensions (depth, dis

Use of trusses: Where do you find trusses in use? The main uses of truss are as follows: 1. The trusses are used to support slopping roofs. 2. Brick trusses are

In the drawing, the weight of the block on the table is 380 N and that of the hanging block is 215 N. Ignore all frictional effects, and assuming the pulley to be massless.

Masonry Arch Culverts: Brick or stone masonry arches were very popular forms for culverts till recently. The disadvantage with this form is the unavoidable humps in the longi