Question

. A small mass is suspended by a string from the ceiling of a car. As the car accelerates at a rate 'a'
the string makes an angle  with the vertical. Then the tension in the string

Answer 1

Answer:

T= m√(g.2+a2)

Explanation:

As the car is accelerating thus the string will not hang straight, it will make some angle . let the angle b/w original position and the displaced position as θ.

now resolve the tension,T when it make angle θ into sin & cos component.

on balancing u will get

Tcosθ = mg ( vertical component)

Tsinθ = ma ( horizontly)

now on squaring & adding these 2 eqn u will get

T²(sin2θ + cos2θ) = m2(g2+a2) => T= m√(g.2+a2)

here sin2θ+ cos2θ=1 is used