1.

other end ordynamometer D is attached to two bodies of massesM-6 kg and m 4 kg. Forces F-20 N and f-10 N areapplied to the masses as shown. The dynamometer reads:(a) 10 N(b) 20 N(c) 6N(d) 14 N

AnswerΒ»

Let x be the force recorded by dynamometer.

Both masses move in one direction.

The largest force is 20N and the least is 10 N.

This means x lies between 10 and 20.

This can be represented as shown.

10 < x < 20

The resultant force on :

6kg mass = 20 - x

4 kg mass = x - 10

They have equal acceleration as shown :

(20 - x) / 6 = (x - 10) / 4

4(20 - x) = 6( x - 10)

80 - 4x = 6x - 60

140 = 10x

x = 14 N

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