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Speed of object in revolutions around a circle: puck of mass tied to a string

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

Calculate tension in a steel wire under water connecting a buoy to the sea bed

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.

Uniform plank rests against a frictionless roller: coefficient

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

Working with static equilibrium and tension.

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

Static Equilibrium

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

Calculating the period of oscillation of a mass/spring system.

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

True and false questions regarding buoyancy and density.

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

About a problem relating to rigid body in equilibrium

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

Blocks and ropes

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

Rotational Equilibrium and Rotational Dynamics

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