Kinematics Question 168

Question: Three forces start acting simultaneously on a particle moving with velocity $ {{v}^{\to }} $ . These forces are represented in magnitude and direction by the three sides of a triangle ABC (as shown). The particle will now move with velocity

Options:

A) $ \overrightarrow{v} $ remaining unchanged

B) less than $ \overrightarrow{v} $

C) greater than $ \overrightarrow{v} $

D) $ | \overrightarrow{v} | $ in the direction of the largest force BC

Show Answer

Answer:

Correct Answer: A

Solution:

[a] From polygon law of vector addition we know if the vectors are arranged along the sides of a polygon the resultant of vector becomes zero. Here in this case the forces are represented by the sides of a triangle taken in same order, so their resultant is zero, it means the acceleration of the particle should be zero, hence velocity remains constant.



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