Question

inthis figure given below with what acceleration does the block of mass m will move?

Answer 1

Let the tension in the string going over pulley be T
And the acceleration of mass m is a(upward direction)

For left side mass,
T - mg = ma
Or T = mg + ma

For right side masses,
5mg - T = 5ma
Or T = 5mg - 5 ma

From above equations,
mg + ma = 5mg - 5ma

Or 6ma = 4mg

Or a = 2g/3

Answer is (3)

Answer 2

please refer the pic