You are on a railway car that is accelerating with a constant acceleration to the left. On the railway car, there is a string with a ball on the end (assume the string is massless) attached to the ceiling of the car. The ball also has the same constant acceleration as the car (as viewed from outside the car) which causes the string to tilt at a constant angle (it is not oscillating!) with respect to the vertical. This is shown in the picture below. The mass of the ball is 2.0 kg and the angle 0 is 40°.

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Draw a complete force diagram of the ball and label all forces.

Find the magnitude of the acceleration of the railway car.

 

You are on a railway car that is accelerating with a constant acceleration to the left. On
the railway car, there is a string with a ball on the end (assume the string is massless)
attached to the ceiling of the car.
The ball also has the same constant acceleration as the car (as viewed from outside the
car) which causes the string to tilt at a constant angle (it is not oscillating!) with respect to the vertical. This is
shown in the picture below. The mass of the ball is 2.0 kg and the angle 0 is 40°.
Transcribed Image Text:You are on a railway car that is accelerating with a constant acceleration to the left. On the railway car, there is a string with a ball on the end (assume the string is massless) attached to the ceiling of the car. The ball also has the same constant acceleration as the car (as viewed from outside the car) which causes the string to tilt at a constant angle (it is not oscillating!) with respect to the vertical. This is shown in the picture below. The mass of the ball is 2.0 kg and the angle 0 is 40°.
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