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4. A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kgm?. A boy of mass 50 kg runs tangent to the rim at a speed of 4.0 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on?

4. A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kgm?. A boy of mass 50 kg runs tangent to the rim at a speed of 4.0 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on?

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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L Oscillator m Figure 2 a. Sketch the shape of the string for the fundamental (lowest possible frequency) standing- wave mode of vibration of this string. In this case, how many wavelengths fit on the string? b. What mass m must be hung from the right end of the string so that the string tension is what is needed to produce the standing wave that you drew in part (a) at the given 75 Hz oscillation frequency? c. Sketch the shape of the string for the second harmonic (next possible frequency above the fundamental) mode of vibration of this string. In this case, how many wavelengths fit on the string? d. What mass m must be hung from the right end of the string to produce the standing wave that you drew in part (c)? 4. A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kgm?. A boy of mass 50 kg runs tangent to the rim at a speed of 4.0 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on? 5. A sculpture weighing 10,000 N rests on a horizontal surface at the top of a 6.0 m tall vertical pillar. The pillar's cross-section area is 0.20 m² and it is made of granite with a mass density of 2700 kg/m'. Find the compressive stress at the cross-section located 3.0 m below the top of the pillar and the value of the compressive strain of the top 3.0 m segment of the pillar. 6. A block weighing 1.2 N is hung from a spring with a spring constant of 6.0 N/m, as shown in Figure 3.
Transcribed Image Text:L Oscillator m Figure 2 a. Sketch the shape of the string for the fundamental (lowest possible frequency) standing- wave mode of vibration of this string. In this case, how many wavelengths fit on the string? b. What mass m must be hung from the right end of the string so that the string tension is what is needed to produce the standing wave that you drew in part (a) at the given 75 Hz oscillation frequency? c. Sketch the shape of the string for the second harmonic (next possible frequency above the fundamental) mode of vibration of this string. In this case, how many wavelengths fit on the string? d. What mass m must be hung from the right end of the string to produce the standing wave that you drew in part (c)? 4. A merry-go-round has a radius of 2.0 m and a moment of inertia 300 kgm?. A boy of mass 50 kg runs tangent to the rim at a speed of 4.0 m/s and jumps on. If the merry-go-round is initially at rest, what is the angular velocity after the boy jumps on? 5. A sculpture weighing 10,000 N rests on a horizontal surface at the top of a 6.0 m tall vertical pillar. The pillar's cross-section area is 0.20 m² and it is made of granite with a mass density of 2700 kg/m'. Find the compressive stress at the cross-section located 3.0 m below the top of the pillar and the value of the compressive strain of the top 3.0 m segment of the pillar. 6. A block weighing 1.2 N is hung from a spring with a spring constant of 6.0 N/m, as shown in Figure 3.
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