A boat exerts a pull of 4000 N on its hawser which is wrapped about a capstan on the dock. If the coefficient of friction is 0.3, how many turns must the hawser make around the capstan so that the pull at the other end does not exceed 50 N?

A board of mass 3.0Kg serves as a seesaw for two children. Child A has a mass of 40Kg and sits 2.5m from the pivot point. At what distance x should a child B of mass 25Kg sit from the pivot point so as to balance the seesaw? What is the normal force at the pivot point? Assume the board is uniform and centered over the pivot.

Please explain steps. Thanks.

A mixing beater consists of three thin rods, each 10.6 cm long. The rods diverge from a central hub, separated from each other by 120°, and all turn in the same plane. A ball is attached to the end of each rod. Each ball has cross-sectional area 4.20 cm? and is so shaped that it has a drag coefficient of 0.620. The drag force on each ball is R = Dp A v2 where D is the drag coefficient, p the density of the fluid, A the cross-sectional area, and v the speed of the object moving through the fluid. (a) Calculate the power input required to spin the beater at 1000 rev/min in water. w (b) The beater is taken out of the water and held in air. If the input power remains the same (it wouldn't, but if it did), what would be the new rotation speed? rev/min

.) The figure shows a vertical force applied tangentially to a uniform cylinder of weight F. The coefficient of static friction between the cylinder P and all surfaces is 0.500. The force P is increased in magnitude until the cylinder begins to rotate. In terms of F, find the maximum force magnitude P that can be applied without causing the cylinder to rotate. Suggestion: show that both friction forces will be at their maximum values when the cylinder is on the verge of slipping.

There is this ladder with a length L = 3.5 m and mass M= 15 kg leans against a smooth vertical wall, while its bottom legs rest on a rough horizontal floor. There is also static friction between floor and ladder is u = 0.47. The ladder makes an angle 0 = 55° with respect to the floor. A person of mass 8M stands on the ladder a distance d from its base. What is the magnitude of the normal force N, in newtons, exerted by the floor on the ladder? What is the largest distance up the ladder dmax, in meters, that the person can stand without the ladder slipping?

The wheels,axle, and handles of a wheelbarrow weigh W=56N. The load chamber and it’s contents weigh WL=635N.the drawing shows these two forces in two different wheelbarrow designs. To support the wheelbarrow in equilibrium, the man’s hands apply a force to the handles that is directed vertically upward.consider a rotational axis at the point where the tire contacts the ground, directed perpendicular to the plane of the paper.find the magnitude of the man’s force for both designs.

A tightrope walker walks across a 30-m long wire tied between two poles. The center of the wire is displaced vertically downward by 1.0 m when he is halfway across. If the tension in both halves of the wire at this point is 6294 N, what is the mass of the tightrope walker? Neglect the mass of the wire.

A homeowner is trying to move a stubborn rock from his yard. By using a a metal rod as a lever arm and a fulcrum (or pivot point) the homeowner will have a better chance of moving the rock. The homeowner places the fulcrum a distance ?=0.266 m from the rock, which has a mass of 325 kg, and fits one end of the rod under the rock's center of weight.

You place a 15.0-m long, 22-kg uniform ladder against a smooth vertical wall with the bottom of the ladder 3.0 m from the wall. There is a lot of slippery mud so naturally you are worried about the ladder slipping. The coefficient of static friction between the floor and the ladder is 0.28. What distance, measured along the ladder from the bottom, can a 60-kg person climb before the ladder starts to slip?