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.
