Question

Small sphere of mass m is suspended by a string from the ceiling of the car the car begins to move with a constant acceleration g/2 when the tension in the string is



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Answer 1

Answer:

(mg√5)/2

Explanation:

It is better to draw diagram for this.

Let the angle made becuase of acceleration of car be A.

In horizontal direction: TcosA = m(g/2)

In vertical direction: TsinA = mg

Square on both sides of TsinA and TcosA, then add:

=> (TsinA)² + (TcosA)² = (mg)² + (mg/2)²

=> T²sin²A + T²cos²A = m²g²(1 + 1/2²)

=> T²(sin²A + cos²A) = m²g²(5/4)

=> T² = m²g²(5/4)

=> T = (mg√5)/2