See attached graph. 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. If the angle that the plane makes with the horizontal is theta, and the coefficient of static friction between the cylinder and the plane is u, what is the
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. The other end of the string passes through a hole in the center of the table, and a mass of 1.24 kg is tied to it (see figure in attached Word file). The suspended mass remains in equilibrium while
A spherical buoy is tied to the sea bed by a steel wire so that exactly half the buoy is above the water surface. If the diameter of the buoy is 1.3m and the mass of the buoy is 20kg: a) determine the tension in the wire b) if this tension produces an extension in the steel wire of 4.0mm, calculate the length of the wire.
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. Write down the equation of motion (Newton's Law) modeling the pendulum. Rewrite the model as a system of two first order equations for the position and velocity of the mass. Find the equilibrium points an
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 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 h = 3.05 m. The plank remains in equilibrium for any value of theta greater than or equal to 70 degress but slips if theta is less than 70 degrees. Find the coefficient of stat
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 window washer of mass 86 kg stands at a distance d from the midpoint of the scaffold. The tension in the cable nearest the worker is twice the tension in the other. a) What is the tension in the cable nearest th
The system in figure 13-45 is in equilibrium. A mass of 225 kg hangs from the end of the uniform strut. The tension T in the supporting cable is measured to be 6,910 N. a) What is the mass of the strut? b) What is the vertical component of the force exerted on the strut by the hinge? c) What is the horizontal component of th
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, and the spring is placed horizontally on a frictionless table. One end of the spring is held fixed and the other end is attached to a 370.0 g mass. The mass is then pulled out a distance of 14.0 cm
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. All of the objects have the SAME mass. The objects are released and allowed to reach some equilibrium position. Note that some of the objects will float, while others will sink. Whic
The asking problem: The uniform rod AB lies in a vertical plane. Its ends are connected to rollers which rest against frictionless surfaces. Determine the relation between the angles theta and alpha when the rod is in equilibrium. Note: This is a 2D problem and not a 3D. It was taken from the «Statics of Rigid Bodies in Two D
The eight figures show various situations where blocks of different weights are attached by ropes to rigidly fixed objects or to other blocks, which are attached to fixed objects. The situations differ in a number of ways, as the figures show, but all situations represent static equilibrium (i.e. nothing is moving). The weights
The sailor in Figure P8.10 weighs 750N. The force F1 exerted by the wind on the sail is horizontal and acts through point B. The weight of the boat is 1250N and acts through point O, which is 0.8m from the point A along the line OA. The force F2 exerted by the water acts through point A. Determine the net force exerted by t
Explain the important laws of thermodynamics and their physical aspects.