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vladimir1956 [14]
3 years ago
7

a pendulum hanging from the ceiling of a train traveling with constant speed deviates 37 ° from the vertical when the train desc

ribes a curve of 60 m radius determines the train's rapids
Physics
1 answer:
lord [1]3 years ago
4 0

Answer:

21 m/s

Explanation:

There are three forces on the pendulum:

Weight force mg pulling down,

Vertical tension component Tᵧ pulling up,

and horizontal tension component Tₓ pulling towards the center of the curve.

Sum of forces in the y direction:

∑F = ma

Tᵧ − mg = 0

T cos 37° = mg

T = mg / cos 37°

Sum of forces in the centripetal direction:

∑F = ma

Tₓ = mv²/r

T sin 37° = mv²/r

(mg / cos 37°) sin 37° = mv²/r

g tan 37° = v²/r

v = √(gr tan 37°)

v = √(9.8 m/s² × 60 m × tan 37°)

v = 21 m/s

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