Question

Velocity of two particles A and B departed by distance 20m apart is as shown in figure then what will be the Anguilla velocity of B wrt A​
if you know the answer please answer

Answer 1

Answer:

I am not sure about this answer so please check it once again.

Answer 2

Concept:

• Relative velocity
• Angular velocity
• Application of vectors

Given:

• The distance between particles A and B = 20m
• Speed of particle A v1 = 50 m/s
• Speed of particle B v2 = 100√3 m/s

Find:

• Angular velocity of particle B with respect to particle A

Solution:

Downward vertical velocity of A = 50 sin 30 = 25 m/s

Horizontal velocity of A towards left = 50 cos 30 = 43.3 m/s

Upward vertical velocity of B = 100√3 sin 60 = 150 m/s

Horizontal velocity of B towards left =  100√3 sin 30 = 50√3

Relative velocity towards the left = 50√3 - 43.3 = 43.3 m/s

Relative velocity vertically = 150-(-25) = 175 m/s

Consider only vertical relative velocity as it is perpendicular to the distance

Relative angular velocity = v/r = 175/20 = 8.75

The angular velocity of B with respect to A is 8.75

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