Two small balls of masses 3m and 2m and each having charges Q are connected by a string passing over a fixed pulley. Calculate the acceleration of the balls (in m/sec 2 ) if the whole assembly is located in a uniform electric field E = 
acting vertically downwards. Neglect any interaction between the balls. Take g = 10 m/s 2
Text Solution
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(2)
Sol.
Force on m 1 and m 2 due to electric field = Q 1 E and Q 2 E downward Let acceleration of both masses is ‘a’ as shown in figure:
∴ By F.B.D of m 2 :
m 2 g + Q 2 E – T = m 2 a ....
By F.B.D of m 1 :
T
– m 1 g – Q 1 E = m 1 a....
By both equations:
a = 
and by putting m 1 = 2m, m 2 = 3m and Q 1 = Q 2 we get a = 2m/sec 2
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