Question

A lamp weighing 5N is suspended from ceiling by
a chain. It is pulled aside by a horizontal cord
until the chain makes an angle of 60° with the
ceiling as shown in Fig. 1. Find the tensions in the
chain and the cord.
LIHI
60
Chain
160
Cord
SN​

Answer 1

Answer:

Lets take a small element at a distance x  of length dx.

The velocity with which element will strike the floor,

v=2gx

Momentum transferred to floor is,

dP=dmv=[LMxdx2gx]

F1=dtdp

and, v=dtdx=2gx

F1=LM2gx×2gx

F1=L2mgx

Now, the force entered by length x due to its own weight is,

w=Lmgx

Therefore,

Total force=Lmgx+L2mgx

F=L3mgx

Explanation:

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