Problem of friction

Here is the asking problem: A cord is attached to and partially wound around a cylinder of weight W and radius r which rests on an incline as shown. Knowing that the coefficient of static friction between the cylinder and the incline is 0.30, find the smallest allowable value of «teta» if the cylinder is to remain in equilibrium. I give you the answers of the asking problem for your verification:30.2°

Friction problem

A half section of pipe (see Figure attached), weighting 100 Kg, is to be moved to the right along the floor without tipping. Knowing that the coefficient of friction between the pipe and the floor is 0.35, determine the largest allowable value of angle between direction of T and horizon.

Using Archimedes' principle and equilibrium of two submerged objects to find unknown density.

We wish to find he density of an irregularly shaped plastic object found floating in the sea. Its mass is Mp= 1.25 kg. It is tied by a cord to a block of aluminum, mass Ma= 1.5 kg, whose density is Da= 2700 kg/m^3. The two masses are submerged in sea water, density Dliq=1025 kg/m^3, and held stationary by a cord exerting upward force C= 6.57 nt. See attachment #1 for diagram. Find the density of the plastic object.

Bernoulli's equation and equation of continuity in liquid flow from large to smaller pipe

Bernoulli problem. A sprinkler supply pipe pumps water upward from a larger pipe, diameter d2=.28 m, to a smaller pipe, diameter d1= .12 m. The velocity of the water through the smaller pipe is v1= 6 m/sec. See attachment #1 for diagram. a. find the water velocity in the larger pipe. b. find the rate of flow in kilograms per second in the smaller pipe. c. find the difference in pressure between two points, if one point, in the smaller pipe is 8 meters above the point in the larger pipe.

Archimedes' principle applied to a floating block in turpentine gives density of liquid. The same block, held stationary submerged by a metal block.

A block whose mass is Mb= 5.22 kg and density Db= 870 kg/m^3 floats in turpentine whose density is Dt with .004 m^3 of the block submerged. PART a. find the density of the turpentine. PART b. Find the minimum mass of an aluminum block which will, when tied to the unknown block, hold both blocks submerged and statiionary.