An elevator is accelerating upwards with an
acceleration of 6 m/s2. Inside it, a person of
mass 50 kg is standing on a weighing machine
which is kept on an inclined plane having an
angle of inclination 60°. The reading of the
weighing machine is:
a=6 m/s2
60°
weighing
machine
Answers
Given:
An elevator is accelerating upwards with an acceleration of 6 m/s2. Inside it, a person of mass 50 kg is standing on a weighing machine which is kept on an inclined plane having an angle of inclination 60°.
To find:
The reading of the weighing machine is:
Solution:
From given, we have,
An elevator is accelerating upwards with an acceleration of 6 m/s2.
a = 6m/s2
Inside it, a person of mass 50 kg is standing on a weighing machine which is kept on an inclined plane having an angle of inclination 60°.
m = 50 kg and θ = 60°
we use the formula, the reading of the weighing machine is
N = ma cos θ + mg cos θ
N = 50 × 6 × cos 60° + 50 × 10 × cos 60°
N = 300 × 1/2 + 500 × 1/2
N = 150 + 250
N = 400
Therefore, the reading of the weighing machine is 400 N