The tension in the string connecting the two blocks of masses m and 2m is
(a) F/3 (b) F/6 2m F (c) F/2. 2 (d) 2F
Answers
Given: Two blocks of mass m and 2m are pulled with force F according to given figure
To find: Tension in the string connecting two blocks of mass m and 2m
Explanation: The acceleration of both the masses will be equal so that when they move, they move together and do not break off.
Let the acceleration be a and tension of the string be T.
Writing the equation for mass m:
It is pulled by the string. No other forces are acting on it.
Therefore, T = ma ---- Equation (i)
Writing equation for mass 2m:
It is pulled by the string on the left and the force F on the right side.
Therefore, F - T = 2ma----Equation(ii)
Using equation (i) in equation (ii):
F - ma = 2ma
=> F = 3ma
=> ma = F/3
=> T = F/3 ( T = ma)
Therefore, the tension in the string connecting the two blocks is option (a) F/3.