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1. The fig. shows cross section of a garage door which is a uniform rectangular panel 8 x 8 ft ans weighing 200 lb. The door carries two spring assemblies, one on each side of the door, like the one shown. Each spring has a stiffness of 50 lb/ft, and is unstretched when the door is in the open position shown. If the door is released from rest in this position, calculate the velocity of the edge at A as it strikes the garage floor.
2. The centre of the 200 lb wheel with centroidal radius of gyration of 4 in. has a velocity of 2 ft/sec down the incline in the position shown. Calculate the normal reaction N under the wheel as it rolls past position A. Assume that no slipping occures.
The rotational velocity of a merry-go-round increases at a constant rate from 0.6 rad/s, What is the rotational acceleration of the merry-go-round
An inductor is connected in series to a 5.5 omega resistor and a 9.0 V bsttery. As soon as the circuit is closed, the current in the circuit is observed to increase from 0 to 0.32 A in 0.15s.
A cannon of mass 5.24 x 103 kilogram is rigidly bolted to the earth therefore it can recoil only by a negligible amount. Find the velocity of a shell fired from these loose cannon
Four 25 kg children are sitting on the edge of a 3 m radius 80kg merry go round that is shaped like a disk. Its frequency is 1/3 Hz, What is the moment of inertia before and after
Standing waves on a 1.0m long string that is fixed at both ends are seen at successive frequencies of 24 Hz and 63 Hz. What are the wave speed and fundamental frequency?
A boy in a wheelchair (total mass 45.0kg) wins a race with a skateboarder. He has speed 1.40 m/s at thecrest of a slope 2.00 m high and 12.4m long.
A 40-g bullet leaves the muzzle of a gun at a speed of 300 m/s. If the barrel of the gun is 12 cm long, what is the force acting on the bullet while it is in the barrel.
when a 420 gram mass is attached to a spring it oscillates with a period of 0.350 s. if instead a different mass m2 is
A 1000-kg car is moving at 30.0 m/s around a horizontal curve whose radius is 100 m. What is the magnitude of the frictional force
A ball is thrown vertically upward on the moon and returns to its starting point in 4 sec. Acceleration on the moon is 1.6m/s2 downward. Find the balls original speed
If astronauts could travel at v = 0.910c, we on Earth would say it takes (4.20 / 0.910) = 4.62 years to reach Alpha Centauri, 4.20 light-years away. How much time passes on the astronauts' clocks
One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 3.00 km. What is the distance they travel
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