Laws of Motion 4 Question 6

6. A car is moving in a circular horizontal track of radius 10 m with a constant speed of 10 m/s. A plumb bob is suspended from the roof of the car by a light rigid rod. The angle made by the rod with the vertical is (Take g=10 m/s2 )

(1992,2M)

(a) zero

(b) 30

(c) 45

(d) 60

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Answer:

Correct Answer: 6. (c)

Solution:

  1. FBD of bob is Tsinθ=mv2R

and Tcosθ=mg

tanθ=v2Rg=(10)2(10)(10)

tanθ=1

 or θ=45



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