# A car is speeding

Given: Let the pendulum (formed by the ball and the string) make angle θ with the vertical.

From the free-body diagram, Tcosθ − mg = 0

Tcosθ = mg

i

ma − T sin θ = 0

ma = T sin θ

. ii

So, the angle formed by the ball with the vertical is tan [ a/g.]

(ii) Let the angle of the incline be θ. From the diagram,

ma cos θ = mg sin θ

So, the angle of incline is tan (a/g)

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