Laws of Motion - Result Question 58

58. A car is moving in a circular horizontal track of radius 10m with a constant speed of 10m/ s. A bob is suspended from the roof of the car by a light wire of length 1.0m. The angle made by the wire with the vertical is

[NEET Kar: 2013]

(a) 0∘

(b) π3

(c) π6

(d) π4

Show Answer

Answer:

Correct Answer: 58. (d)

Solution:

  1. (d) Given; speed =10m/s; radius r=10m Angle made by the wire with the vertical is θ. Then, Tcos⁡θ=mg

Tsin⁡θ=mv2r

So,

tan⁡θ=v2rg=10210×10=1⇒θ=45∘=π4

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