67. A small mass is suspended by a string from
the ceiling of a car. As the car accelerates at a
rate the string makes an angle with the
vertical. Then the tension in the string
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67. A small mass is suspended by a string from
the ceiling of a car. As the car accelerates at a
rate the string makes an angle with the
vertical. Then the tension in the string
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Answer:
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 vyl get
Tcosθ = mg ( vertical component)
Tsinθ = ma ( horizontly)
now on squaring & adding these 2 eqn u vyl get
T²(sin2θ + cos2θ) = m2(g2+a2) => T= m√(g.2+a2) here sin2θ+ cos2θ=1 is used
MARK AS BRAINLIEST
Explanation: