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Figure shows the velocity and accelerati...

Figure shows the velocity and acceleration of a point line body at the initial moment of its motion. The acceleration vector of the body remains constant. The minimum radius of curvature of trajectory of the body is

A

2 m

B

3 m

C

8 m

D

16 m

Text Solution

Verified by Experts

The correct Answer is:
C
c. The acceleration vector shall change the components of velocity
`u_(||)` along the acceleration vector.
`r = (v^2)/(a_n)`

Radius of curvature `r_(min)` means v is minimum and `a_n` is
maximum. This is at point P when the component of velocity
parallel to acceleration vector becomes zero, that is `u_(||)=0`.
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