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Four particles with masses 7 kg, 6 kg, 2 kg,and 5 kg are connected by rigid rods of nelgigible mass as shown. The origin is centered on the mass in the lower-left corner. The rectangle is 8 m wide and 5 m long. If the system rotates in the xy plane about the z axis (origin, O) with an angular speed of 5 rad/s.
1. Calculate the moment of inertia of the system about the z axis.
2. Find the rotational energy of the system.
A long, current-carrying solenoid with an air core has 1670 turns per meter of length and a radius of 0.0194 m. What is the mutual inductance of this system?
A person of mass 80 kg stands at the center of a rotating merry-go-round platform of radius 3.5 m and moment of inertia 920 kg cdot m^2. The platform rotates without friction with angular velocity 0.85 rad/s. The person walks radially to the edge ..
A heavy piece of hanging sculpture is suspended by a 90 cm-long, 5.0 g steel wire. When the wind blows hard, What is the mass of the sculpture
A mechanic pushes a 2.20 x10^3 kg car from rest to a speed of v, doing 5400 J of work in the process. During this time, the car moves 28.0 m. Neglecting friction between car and road, find each of the following.
Water flows through a horizontal tube of diameter 2.9cm that is joined to a second horizontal tube of diameter 2.0cm . The pressure difference between the tubes is 7.6kPa
The volume control on a surround-sound amplifier is adjusted so the sound intensity level at the listening position increases from 23 to 61 dB
Estimate the gravitational force between the Sun and Venus. The mass of the Sun is 1.99×10^30 kg. The mass of Venus is 48.7×10^23 kg. The distance between them is 10.8×10^10 m.
A 6.4kg ball, hanging from the ceiling by a light wire 135cm long, is struck in an elastic collision by a 1.80 ball moving horizontally at 4.20 m/s just before the collision. Find the tension in the wire just after the collision.
A steel rod is 3 cm in diameter at 25 C. A brass ring has an interior diameter of 2.992 cm at 25 C. At what common temperture will the ring just slide into the rod?
A 1000 kg aircraft going 25 m/s collides with a 1500 kg aircraft that is parked and they stick together after the collision and are going 10 m/s after the collision. If they skid for 5.4 seconds before stopping, how far did they skid?
An 8300-pF capacitor holds plus and minus charges of 1.35×10?7C. What is the voltage across the capacitor
A caterpillar climbs up a one-meter wall. For every 3 cm it climbs up, it slides down 1 cm. It takes 10 minutes for the caterpillar to climb to the top. Compute the speed at which the caterpillar travels.
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