Archimedes principle to find density of a block and of oil

A block of wood floats in fresh water with forty percent of its volume submerged. This block floats in oil with 93 percent of its volume submerged. (a) find Db, the density of the block. (b) find Do, the density of the oil.

Car on a banked curve

Q: A car rounds a banked curve where the radius of curvature on the road is R, the banking angle is A, and the coefficient of friction is F. Determine the range of speeds the car can have without slipping up or down the road.

Equilibrium/torque

Hi. I need some help with a conceptual question. "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. Is the mass of the meter stick greater than, equal to, or less than the mass of the rock?" I thought the answer would be that the mass o ...continues

A child’s pogo stick stores energy...

Please see the attached file for full problem description. --- A child’s pogo stick stores energy in a spring with a force constant of 2.50 x 10^4 N/m. At position A (XA= -0.100 m), the spring compression is a maximum and the child is momentarily at rest. At position B (Xb=0) the spring is relaxed and the child is moving u ...continues

Archimedes principle and equilibrium applied to an object in air, then water, then liquid X.

An object is suspended from the bottom end of a spring. With the object in air, the spring exerts upward force Wa= 30 nt. With the object immersed in water, the spring exerts upward force Ww= 20 nt. With the object immersed in Liquid X, the spring exerts upward force Wx= 24 nt. see ATTACHMENT for a diagram. Find the density of ...continues

Equilibrium and gravity

In Figure 13-5 (not to scale), a package of mass m hangs from a short cord that is tied to the wall via cord 1 and to the ceiling via cord 2. Cord 1 is at an angle of = 40° with the horizontal. Cord 2 is at angle (theta). a.For what value of theta is the tension in cord 2 minimized?(in degrees) b.In terms of mg, what is t ...continues

Equilibrium problem

The system in Fig. 13-37 is in equilibrium. A concrete block of mass m = 236 kg hangs from the end of the uniform strut whose mass is 46.5 kg. (a) Find the tension T in the cable. (b) Find the horizontal component of the force exerted on the strut by the hinge. (c) Find the vertical component of the force exerted on the str ...continues

Equilibrium and center of mass

In Fig. 13-11, a horizontal scaffold, of length 2.00 m and uniform mass 50 kg, is suspended from a building by two cables. It has dozens of paint cans stacked on it at various points. The total mass of the paint cans is 77.0 kg. The tension in the cable at the right is 735 N. How far horizontally from that cable is the center of ...continues

Torque exerted by the sea on a submerged horizontal surface.

A box with length L= 1.2 m, width W= 2 m, and height S = 1.5 m, has its top, movable surface hinged at its edge. SEE ATTACHMENT#1 for diagram. Fig. 2 shows the box on the bottom of the ocean with its hinged top surface horizontal at distance h= 30 m beneath the surface. The ocean density at this location is D= 1025 kg/m^3. Fi ...continues

Torque due to liquid on a submerged vertical surface about a horizontal axis along its top edge.

A box with length L= 1.2 m, width W= 2 m, and height S = 1.5 m, has one surface hinged at its edge. see Pr/ATTACHMENT Fig. 1 for a diagram. Fig. 2 shows the box on the bottom of the ocean with its hinged surface vertical, with the hinge horizontal at the top edge at distance h beneath the surface. The ocean density at this loc ...continues