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The eight figures show various situations where blocks of different weights are attached by ropes to rigidly fixed objects.
Five solid objects made of different materials are placed in a tub of water. The objects are cubes made of wood, ice, aluminum, steel and gold.
If a mass of 600.0 g is hung from the bottom of a vertical spring, the spring will stretch 28.0 cm. Now the hanging mass is removed.
A scaffold of mass 35 kg and length 5.8 m is supported in a horizontal position by one vertical cable at each end.
A uniform plank with a length L of 6.10 m and a weight of 445 N, rests on the ground and against a frictionless roller at the top of the wall of height.
8 grams of water at 100 degrees C are poured into a cavity at 0 degrees C. How many g of ice melt before thermal equilibrium is attained?
A pendulum is modeled by a mass m, attached to one end of a light rod of lenght l, whose other end is attached to an axis.
A spherical buoy is tied to the sea bed by a steel wire so that exactly half the buoy is above the water surface.
A puck of mass 0.270 kg is tied to a string and allowed to revolve in a circle of radius 1.09 m on a frictionless horizontal table.
A cylinder of mass M and radius R rests on an inclined plane. It is held in place by a horizontal string that is attached to the edge of the cylinder.
Find horizontal and vertical components of the force exerted on the rod by the hinge.Find the tension in the wire.
The diameter of the buoy is 0.800m. Calculate the additional distance the buoy will sink when a 100 kg man stands on top.
A block whose weight is W= 250 nt is on a frictionless plane which is at angle q= 25 degrees. A cable between the ceiling and the block.
Find the x coordinate and the velocity of the movable end of the spring exactly .60 sec after the cord is cut.
A lunch tray is being held in one hand. The mass of the tray itself is 0.200 kg, and its center of gravity is located at its geometrical center.
If a 1.96x10^4 N car is parked 8.00 m from one end of the bridge, how much force does each pillar exert?
A 0.7 lb block rests on top of a 0.5 lb block supported by but not attached to a spring of constant 9 lb/ft. The upper block is suddenly removed.
Find the magnitude of the total force exerted on the door by the lower hinge.
Find T, the tension in the cable and the magnitude of P, the total force exerted on the boom by the frictionless pin.
A uniform 1-meter stick that is supported by a fulcrum at the 25-cm mark is in equilibrium when a 1-kg rock is suspended at the 0 cm end.
Now the mass m1 is pulled down the incline a distance h from the equilibrium position and released.
Each gas is initially at a temperature of 300 K. The system will, of course, after awhile achieve some equilibrium state.
(In other words the leg is in translational equilibrium) what are the numerical values of w2 and a for this to happen if w3=110 N?
Find T_1, the magnitude of the force of tension in string 1. Express your answer in terms of appropriate constants and any of the given variables.
What is the distance between the top of the wood cube (after it has come to rest) and the interface between the oil and water?