An object of mass M = 13.0 kg is attached to a cord that is wrapped around a wheel of radius r = 11.0 cm (see figure). The acceleration of the object down the frictionless incline is measured a = 2.00 m/s2 and the incline makes an angle 0 = 37.0° with the horizontal. Assume the axle of the wheel to be frictionless. M (a) Determine the tension in the rope. N (b) Determine the moment of inertia of the wheel. kg · m2 (c) Determine the angular speed of the wheel 2.40 s after it begins rotating, starting from rest. rad/s

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Chapter1: Units, Trigonometry. And Vectors
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An object of mass M
= 13.0 kg is attached to a cord that is wrapped around a wheel of radius r = 11.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be
2.00 m/s2 and the incline makes an angle 0
37.0° with the horizontal. Assume the axle of the wheel to be frictionless.
a =
%3D
M
(a) Determine the tension in the rope.
(b) Determine the moment of inertia of the wheel.
|kg · m²
(c) Determine the angular speed of the wheel 2.40 s after it begins rotating, starting from rest.
rad/s
Transcribed Image Text:An object of mass M = 13.0 kg is attached to a cord that is wrapped around a wheel of radius r = 11.0 cm (see figure). The acceleration of the object down the frictionless incline is measured to be 2.00 m/s2 and the incline makes an angle 0 37.0° with the horizontal. Assume the axle of the wheel to be frictionless. a = %3D M (a) Determine the tension in the rope. (b) Determine the moment of inertia of the wheel. |kg · m² (c) Determine the angular speed of the wheel 2.40 s after it begins rotating, starting from rest. rad/s
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