Ꮎ X A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 150-kg laser sensor, that measures the thickness of the ice (see the drawing). The helicopter and the sensor both move only in the horizontal direction and have a constant horizontal acceleration of magnitude ax = 2.84 air resistance We want to find the tension in the cable towing the sensor. a) Draw the free body diagram of the forces acting on the sensor. (1 point) m We will ignore b) Assume that the x direction is horizontal and the y direction vertical as in the drawing. Write the projection of the tension force T on the x-y coordinates using the unknown angle 0. (1 points) c) Apply the Newton second law to the x and y axis separately. (1 points) d) From the two obtained equations compute the value of the angle 0 and the magnitude of the tension force in the cable. (2 points)

Principles of Physics: A Calculus-Based Text
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Chapter5: More Applications Of Newton’s Laws
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Problem 64P: If a single constant force acts on an object that moves on a straight line, the objects velocity is...
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Ꮎ
X
A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 150-kg laser sensor, that
measures the thickness of the ice (see the drawing). The helicopter and the sensor both move only in the
horizontal direction and have a constant horizontal acceleration of magnitude ax = 2.84
air resistance We want to find the tension in the cable towing the sensor.
a) Draw the free body diagram of the forces acting on the sensor. (1 point)
m
We will ignore
b) Assume that the x direction is horizontal and the y direction vertical as in the drawing. Write the
projection of the tension force T on the x-y coordinates using the unknown angle 0. (1 points)
c) Apply the Newton second law to the x and y axis separately. (1 points)
d) From the two obtained equations compute the value of the angle 0 and the magnitude of the
tension force in the cable. (2 points)
Transcribed Image Text:Ꮎ X A helicopter flies over the arctic ice pack at a constant altitude, towing an airborne 150-kg laser sensor, that measures the thickness of the ice (see the drawing). The helicopter and the sensor both move only in the horizontal direction and have a constant horizontal acceleration of magnitude ax = 2.84 air resistance We want to find the tension in the cable towing the sensor. a) Draw the free body diagram of the forces acting on the sensor. (1 point) m We will ignore b) Assume that the x direction is horizontal and the y direction vertical as in the drawing. Write the projection of the tension force T on the x-y coordinates using the unknown angle 0. (1 points) c) Apply the Newton second law to the x and y axis separately. (1 points) d) From the two obtained equations compute the value of the angle 0 and the magnitude of the tension force in the cable. (2 points)
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