Tension in string and accelerations of block, Mechanical Engineering

Tension in string and accelerations of blocks:

Find out the tension in string and accelerations of blocks A and B having weights 200N and 50N respectively, connected by the string and frictionless and weightless pulleys as shown in the figure given below.

Sol: Given,

Weight of block A = 200N Weight of block B = 50N

As pulley is smooth, tension in the string will be same throughout

Let, T = Tension in string a = Acceleration of block B

Then acceleration of block A will be equal to half acceleration of block B. Acceleration of block

A = a/2                                                                                                                                        ...(i)

As weight of block is more than weight of block B, block A will move downwards whereas block B will move upwards.

452_tension in string and accelerations of blocks.png

Consider motion of block B,

Net force = T - 50                                                                                                                                          ...(ii)

As Net force, F = ma

T - 50 = (50/9.81) a

T - 50 = 5.1a                                                                                                                                   ...(iii)

Consider motion of block A,

Net force = 200- 2T                                                                                                                                      ...(iv)

As Net force, F = ma

200- 2T = (200/9.81)(a/2)

200- 2T = 10.19a

100 - T = 5.1a                                                                                                                                    ...(v)

Add the equation (3) and (5)

50 = 10.19a

a = 4.9m/sec                                                                                                    .......ANS

Putting value of a in equation (5) we get

T = 75N                                                                             .......ANS

Posted Date: 10/20/2012 12:37:36 AM | Location : United States







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

Write discussion on Tension in string and accelerations of block
Your posts are moderated
Related Questions
The input-output curve of a 60 MW power station is provided by : I = 10 6 [8 + 8L + 0.4L 2 ] Kcl/hour where I is the input in the Kcal/hour and L is the load in MW. (a) Ev

Flash Butt Welding-Flashing The phenomenon of flashing is of extreme importance in achieving satisfactory welds. Flashing can begin only after a molten bridge has been formed s

Q. Illustrate process of Radiographic Examination? Radiographic examination of welded joints shall be performed when required by the Code or additionally when specified in this

what is law of gearing

Dynamic Magnifier: This is function of frequency ratio. Forced Vibration: While the system is continuously excited by an external force or internally produced force, the v


What are the objectives of bearing capacity? The objectives of bearing capacity: a. identify the possible modes of failure that a shallow foundation can undergo, b. under

Find out the velocity of the mass: A mass of weight 29.4 Newton is subjected into a time dependent force, F(t)  = (3t 3  + 5) along x direction. Find out the velocity of the

Compare otto cycle with Diesel cycle: Sol.: These two cycles can be compared on the basis of either the same compression ratio or the same maximum pressure and temperature.

Q2 A 3kW electric water heater is a cylindrical element having outside diameter 10mm. The heat transfer between the heater and the surrounding water is 980W/m2K. Determine the leng