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Energy and angular acceleration Two masses (m_1 = 31.0 kg and m_2 5 23.0 kg) are connected with a massless rope across a pulley, as shown in Figure 8-41(a). The pulley is free to rotate about an axis through its centre. There is no friction between mass m_1 and the incline. The angle of the incline is θ= 32.0°. The pulley has a radius of 0.300 m and a moment of inertia of 5.00 kg•m^2. Determine the acceleration of the blocks:
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Electronic Engineering
Angular Momentum of a spherical shell A child spins the brass globe on her parents’ desk at 3.00 rev/s. The globe is a thin spherical shell with a mass of 1.10 kg and a radius of 23.0 cm. Find the angular momentum of the spinning globe.
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Electronic Engineering
Angular Momentum of a spherical shell A child spins the brass globe on her parents’ desk at 3.00 rev/s. The globe is a thin spherical shell with a mass of 1.10 kg and a radius of 23.0 cm. Find the angular momentum of the spinning globe.
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Electronic Engineering
Shuttle Payload A European Space Agency team is designing a space shuttle orbiter so that it can carry a 3000.0 kg satellite, which has a cylindrical shape with a radius of 1.90 m (Figure 8-50). The satellite needs to be spinning about its axis before it is released into space, so just before the satellite is released, a motor in the cargo bay is to spin the satellite is released, a motor in the cargo bay is to spin the satellite until the satellite has an angular speed of 15.0 rad/s. Assume a uniform cylindrical disk to calculate the moment of inertia of the satellite. The moment of inertia of the orbiter about the axis of rotation of the satellite is 4.20×〖10〗^6 kg•m^2.
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Electronic Engineering
Shuttle Payload A European Space Agency team is designing a space shuttle orbiter so that it can carry a 3000.0 kg satellite, which has a cylindrical shape with a radius of 1.90 m (Figure 8-50). The satellite needs to be spinning about its axis before it is released into space, so just before the satellite is released, a motor in the cargo bay is to spin the satellite is released, a motor in the cargo bay is to spin the satellite until the satellite has an angular speed of 15.0 rad/s. Assume a uniform cylindrical disk to calculate the moment of inertia of the satellite. The moment of inertia of the orbiter about the axis of rotation of the satellite is 4.20×〖10〗^6 kg•m^2.
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Electronic Engineering
Falling Bar The vertical bar shown in Figure 8-43 pivots about its lower end. Starting from rest, the bar swings downward. Find the speed of the free end when the bar has rotated through angle θ.
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Electronic Engineering
Moment of inertia of a set of Point Masses Four point masses are held in position with a set of massless, rigid connecting rods, as indicated in Figure 8-28. The masses are all located in the xy-plane. Obtain an expression for the moment of inertia, in terms of m and d, if the object rotates about the z-axis through the origin of the coordinate system about the x-axis through the origin of the coordinate system about the y-axis through the origin of the coordinate system about an axis running through the mass (3m) perpendicular to the xy-plane
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Electronic Engineering
Magnetic Boots Two astronauts are installing equipment on an orbiting platform that is rotating freely at a rate of 1.10 rad/s about its centre of mass, as shown in Figure 8-53. Astronaut Valentine is standing at the centre of the platform, and astronaut Alexander is at the edge. The platform has a radius of 11.0 m. The moment of inertia of the platform without the astronauts is I_P=2400.kg•m^2. Astronaut Valentine walks to the edge and hands a container of mass m_c=24.0 kg to astronaut Alexander and then returns to the centre. Both astronauts are wearing magnetic boots that keep them on the surface of the platform. Compared to the dimensions of the platform, you can consider the astronauts to be thin cylinders or point masses of mass m_a=81.0 kg each. The container can also be considered a point mass. Find the resulting angular speed of the platform after astronaut Valentine has returned to the centre. Find the total work done by the astronaut(s) in the process. If astronaut V
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Electronic Engineering
