A sphere of mass 2.6 × 104 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 15° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.

A sphere of mass 4.7 × 10-4 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 26° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord.

In the figure, a 499 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 51.0° and 9₂ = 54.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) B C 0₂

a 1.34 kg ball is connected by means of two massless strings, each of length L = 1.70 m, to a vertical, rotating rod. The strings are tied to the rod with separation d = 1.70 m and are taut. The tension in the upper string is 35 N. What are the (a) tension in the lower string, (b) magnitude of the net force  on the ball, and (c) speed of the ball? (d) What is the direction of the net force?

A sphere of mass 5.4 × 104 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 18° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord. (a) Number i Units (b) Number i Units

A stone has a mass of 8.79 g and is wedged into the tread of an automobile tire, as the drawing shows. The coefficient of static friction between the stone and each side of the tread channel is 0.818. When the tire surface is rotating at 10.9m/s, the stone flies out the tread. The magnitude FN of the normal force that each side of the tread channel exerts on the stone is 2.46 N. Assume that only static friction supplies the centripetal force, and determines the radius r of the tire (in terms of m)

A basket of flowers of mass 3 kg is placed on a flat grassy slope that makes an angle θ with the horizontal. The coefficient of static friction between the basket and the slope is 0.45 and the basket is on the point of slipping down the slope. Model the basket of flowers as a particle and the grassy slope as a plane. Take the magnitude of the acceleration due to gravity, g, to be 9.8 m s−2 . State the forces that act on the basket. Draw a force diagram showing them, defining the symbols that you use to represent the forces and marking the sizes of the angles to show the directions of the forces. Take the unit vector i to point up the slope and the unit vector j to point upwards and perpendicular to the slope. Add these unit vectors to your force diagram.

A block of mass m = 14kg rests on an inclined plane with a coefficient of static friction of mu_{s} = 0.11 between the block and the plane. The inclined plane is L = 6.8m long and it has a height of h = 3.95 m at its tallest point a. What angle in degrees does the plans make with respect to the horizontal B.what is the magnitude of the normal force, Fn in newtons that acts on the block C. What component of the force of gravity along with the plan fgx in newton? Will the block slide?

In the figure, a 799 kg construction bucket is suspended by a cable A that is attached at O to two other cables B and C, making angles 0₁ = 55.0° and 0₂ = 66.0° with the horizontal. Find the tensions in (a) cable A, (b) cable B, and (c) cable C. (Hint: To avoid solving two equations in two unknowns, position the axes as shown in the figure.) (a) Number i (b) Number (c) Number i Units Units Units B A C 09 >

A sphere of mass 2.1 × 104 kg is suspended from a cord. A steady horizontal breeze pushes the sphere so that the cord makes a constant angle of 40° with the vertical. Find (a) the magnitude of that push and (b) the tension in the cord. (a) Number i Units N (b) Number i Units >