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MAVERICK
4 days ago
6

A magic medallion is suspended from a string inside a compartment of Hogwarts Express which is running straight westwards on hor

izontal tracks. a) Draw a free-free body diagram for the medallion if the train is moving at constant speed. b) Draw a free-body diagram for the medallion if the train is accelerating at a constant rate. Indicate acceleration and the direction of the net force. c) Calculate the angle the string makes with the vertical if the train accelerates at a constant rate from rest to 20 m/s in 10 seconds. d) If the mass of the medallion is doubled, how will the angle change?

Physics
1 answer:
Yuliya22 [2.4K]4 days ago
4 0

Answer:

a = 1 m/s²  and

Explanation:

The initial two sections are depicted in the attachment

Newton's second law is applied along each axis

Y axis

      Ty - W = 0        

      Ty = w

X axis

     Tx = m a

Using trigonometry, the tension components are determined

    Sin θ = Ty / T

    Ty = T sin θ

    Cos θ = Tx / T

    Tx = T cos θ

Acceleration calculation is carried out using kinematics

   Vf = Vo + a t

   a = (Vf -Vo) / t

   a = (20 -10) / 10

   a = 1 m/s²

Now we apply the substitution in Newton's equations

     

  T Sin θ = mg

  T cos θ = ma

Next, we divide both equations

  Tan θ = g / a

  θ = tan⁻¹ (g / a)

  θ = tan⁻¹ (9.8 / 1)

  θ = 84º

The equation for the angle does not depend on the mass, hence the angle remains unchanged

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