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The figure shows a child's toy, which has the shape of a cylinder mounted on top of a hemisphere.
Write down the condition that determines l1. Suppose now that the spring is stretched a further distance x beyond its new equilibrium length.
A scale is attached to the ceiling and a mass of 1.00 kg hangs from it. It reads 9.81 N. Another identical scale at the right is connected by perfect strings.
Radio engineers are erecting a communications tower that is 16.0 m high. During the installation they stabilize the tower with 32.0 m long cables.
If two particles have equal kinetic energies, does that mean that they must have equal momenta? Explain.
She decides to sacrifice one of her 0.5 kg shoes and throws it horizontally at 5 m/s. How long does it take her to reach the shore?
The motion is simple harmonic motion, and it takes 1.98 s to complete one cycle. The height of each bounce above the equilibrium position is 54.0 cm.
The force exerted by a one-dimensional spring, fixed at one end, is F=-kx, where x is the displacement of the other end from its equilibrium position.
Consider a bead of mass m sliding without friction on a wire that is bent in the shape of a parabola and is being spun with constant angular velocity.
Assuming that no heat is lost from the ice+water system, compute how much ice remains at equilibrium.
A block with mass attached to a horizontal spring with force constant is moving with simple harmonic motion having amplitude.
Calculate the vertical distance from the surface of the liquid to the bottom of the floating object at equilibrium.
The energy of block A and the spring at the moment when block B falls off is the same as the energy of block A and the spring when block A next comes to rest.
A uniform circular plate of radius 300 mm and mass 26 kg is supported by three vertical wires that are equally spaced arround its edge.
Give an example of how you might place two other point charges so that the net force on the initial charge is zero.
Two of the wires make angles f1, f2 with the horizontal. Show that the tension on the left hand wire is.
Does kinetic friction depend on area? What about Normal force? or speed? And what is the difference between static and kinetic friction.
A bead of mass m slides without friction on a ring. The ring rotates with constant angular velocity ? about a rotational axis that is aligned with a ring.
A piece of wood with a density of 669 kg/m3 is tied with a string to the bottom of a water-filled flask.
A winch is used to raise a 500 kg crate at a constant velocity (a = 0 m/s2). Determine the tension in the support arm and the angle theta.
The force that you exert on the filing cabinet will be equal to the frictional force on the cabinet.The force that you exert on the filing cabinet will be more.
An organic pipe that is closed at one end has a length of 0.80 m. At 20 degrees Celsius, what is the distance between a node and an adjacent antinode.
What is the change in length for the tibia due to the compressive forces?What is the compressive stress in the tibia?
Find the frequency of vibration on Mars for a simple pendulum that is 50 cm long. Objects weigh 0.40 as much on Mars as on the Earth.
When a 0.75 kg mass is hung from that end, the balance point moves 8.0 cm toward that end. Find the mass of the beam.