First slide

Pseudo force

Question

The masses of 10 kg and 20 kg respectively are connected by a massless spring in fig. (4). A force of
200 newton acts on the 20 kg mass. At the instant shown, the 10 kg mass has acceleration 12 m/sec². What is the acceleration of 20 kg mass ?

Moderate

A

12 m/sec²
B

4 m/sec²
C

10 m/sec²
D

zero

Solution

Force on 10 kg mass = 10 x 1.2 = 120 N
The mass of 10 kg will pull the mass of 20 kg in the backward direction with a force of 120 N.
$∴$ Net force on mass 20 kg = 200 - 120 = 80 N
Its acceleration $= \frac{80 N}{20 kg} = 4 m / s^{2}$

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