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Question

Question: In the given arrangement, n number of equal masses are connected by strings of negligible masses. Th...

In the given arrangement, n number of equal masses are connected by strings of negligible masses. The tension in the string connected to nth mass is –

A

mMgnm+M\frac { \mathrm { mMg } } { \mathrm { nm } + \mathrm { M } }

B

mMgnmM\frac { \mathrm { mMg } } { \mathrm { nmM } }

C

mg

D

mng

Answer

mMgnm+M\frac { \mathrm { mMg } } { \mathrm { nm } + \mathrm { M } }

Explanation

Solution

Acceleration of system a = MgM+nm\frac { \mathrm { Mg } } { \mathrm { M } + \mathrm { nm } }

Tension in the last string,

T = ma = mMgM+nm\frac { \mathrm { mMg } } { \mathrm { M } + \mathrm { nm } }