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
APPLICATIONS OF CO 2 WELDING CO 2 welding is extremely useful for joining thin sheets of thickness range 1.0 to 2.0 mm because it is possible to keep the heat input low to av

Explain Wilson HArtnell Governor

Dead Centre The position of the working piston and the moving parts which are mechanically connected to it, at the moment when the direction of the piston motion is reserved

A perfect gas flows through a nozzle when it expends in a reversible adiabatic manner, the inlet conditions are 22 bar,, 500 o c, 38 m/s. At exit the pressure is 2 bar. Evaluate th

assumptions made in deriving a bending formula

Problem specification 5 kg of air is contained in a piston-cylinder device, initially at a pressure of 2MPa and a specific volume of 0.08m3/kg. The air then expands, as an ideal ga

Custom-Designed Lap Joint Flanges Practices relative to lap-joint flanges, that experience has shown will result in a level of damage tolerance, leak-tightness integrity, and g

The Contractor shall perform all work with the highest quality workmanship throughout to provide a neat, uniform appearance with no sharp edges exposed. Insulation shall not be

dgdsgsfd sfdsvdsfsdf dsfsdgsgdsfsada sfdsfdsvsdfsd sgghdfgsgfa

SUBMERGED ARC WELDING-Set Up Submerged arc welding system consists of the following basic modules: 1. Welding head 2. Power source 3. Flux feeding and recovery units Schematic