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As shown in Figure 3, a fireworks pinwheel is constructed using a lightweight rigid rod of length L. T = rF sin 0 I = mr? L= 73.5 (cm) Στ a = L - 1 e = 0, + wot +,at? W = Wo + at Figure 3. (): (w + @° 0 = 0, +

As shown in Figure 3, a fireworks pinwheel is constructed using a lightweight rigid rod of length L. T = rF sin 0 I = mr? L= 73.5 (cm) Στ a = L - 1 e = 0, + wot +,at? W = Wo + at Figure 3. (): (w + @° 0 = 0, +

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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As shown in Figure 3, a fireworks pinwheel is constructed using a lightweight rigid rod of length L. T = rF sin 0 I = = >, m;r? L= 73.5 (cm) Στ a = L 1 0 = 0, + wot +at² 2 W = Wo + at Figure 3. w + wo 0 = 0, + The axis of rotation is at the center of the rod. A rocket w? = w? + 2a(0 – 0,) is attached at either end, each providing a thrust of vi = rw F = 2.0 N at an angle p = 20° with respect to the vertical, as drawn. The rocket on the left has a mass m, = 250 g, and the rocket on the right has a mass m2 = 275 g, so the pinwheel is unbalanced about the rotation axis. You will balance the pinwheel by attaching a third mass to the left of the rotation axis. Then the rockets are ignited, the pinwheel turns through a total angular displacement Ae = 25 complete revolutions, and the rockets burn out. a) If the third mass is 50 g, what distance (in cm) from the rotation axis must it be attached for rotational equilibrium? b) Calculate the moment of inertia I of the balanced pinwheel (in kg-m?). The mass of the connecting rod is negligible. c) Calculate the net external torque t provided by the rockets (m³N). Please Note: The three masses are now balanced and provide a net torque of zero, so only the rockets can provide external torque.
Transcribed Image Text:As shown in Figure 3, a fireworks pinwheel is constructed using a lightweight rigid rod of length L. T = rF sin 0 I = = >, m;r? L= 73.5 (cm) Στ a = L 1 0 = 0, + wot +at² 2 W = Wo + at Figure 3. w + wo 0 = 0, + The axis of rotation is at the center of the rod. A rocket w? = w? + 2a(0 – 0,) is attached at either end, each providing a thrust of vi = rw F = 2.0 N at an angle p = 20° with respect to the vertical, as drawn. The rocket on the left has a mass m, = 250 g, and the rocket on the right has a mass m2 = 275 g, so the pinwheel is unbalanced about the rotation axis. You will balance the pinwheel by attaching a third mass to the left of the rotation axis. Then the rockets are ignited, the pinwheel turns through a total angular displacement Ae = 25 complete revolutions, and the rockets burn out. a) If the third mass is 50 g, what distance (in cm) from the rotation axis must it be attached for rotational equilibrium? b) Calculate the moment of inertia I of the balanced pinwheel (in kg-m?). The mass of the connecting rod is negligible. c) Calculate the net external torque t provided by the rockets (m³N). Please Note: The three masses are now balanced and provide a net torque of zero, so only the rockets can provide external torque.
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