A boy riding a bicycle is travelling on a horizontal curved road of radius 25 m, at speed of 36 km/hr. Find the angle through which he leans from the vertical. If the combined mass of the boy and the bicycle is 100 kg, calculate the force of friction between the tyres and the road.

If the coefficient of friction between the steel wedge and the moist fibers of the newly cut stump is 0.25, determine the maximum angle a which the wedge may have and not pop out of the wood after being driven by the sledge. Answer: a = i 0

A pickup truck has a box sitting loose in its bed. The box has a mass of 2.5kg and the coefficient  of static friction between the box and the pickup bed is 0.8. The mass of the truck is 3150 kg and its tires have a coefficient of static friction with the road of 0.9.  the truck is currently going through a roundabout with a radius of 30m. How fast can the truck go and not have the box slide on the truck bed? Please answer in m/s.

The figure shows an arrangement in which four disks are suspended by cords. The longer, top cord loops over a frictionless pulley and pulls with a force of magnitude 81.9 N on the wall to which it is attached. The tensions in the shorter cords are T₁ = 56.3 N, T₂ = 49.3 N, and T3 = 5.05 N. What are the masses of (a) disk A, (b) disk B, (c) disk C, and (d) disk D? (a) Number i (b) Number i (c) Number i (d) Number i Units Units Units Units T₁ T₂ T3

Determine the force P that should be applied at the bottom of the ladder if a man that weighs 160 kN climbed up 4 m. from the top. The weight of the ladder is 40 kN and the angle of friction for the two contact surfaces is 15°. Answer in kN, rounded to the nearest hundredths. (type the value only, without the unit) 160 kN 4 8 12 W A

A car making a turn on a dry, banked highway ramp is experiencing friction. The angle of the bank is 40 degrees and the radius of turn is 78 m, what is the coefficient of static friction between the tires and the road if a 1350 kg car safely turn at 45m/s?

Due to an unequal distribution of fuel in the wing tanks, the centers of gravity for the airplane fuselage A and wings B and C are located as shown. If these components have weights WA = 45 000 lb, Wg = 8000 lb, and Wc = 6000 lb, determine the normal reactions of the wheels D, E, and F on the ground. Bo 8 ft 4 ft 6 ft 8 ft 6 ft 20 ft 3 ft

The distance between two telephone poles is d = 54.0 m. When a 1.20 kg bird lands on the telephone wire midway between the poles, the wire sags h = 0.206 m.   How much tension (in N) does the bird produce in the wire? Ignore the weight of the wire

A small box of mass m1m1 is sitting on a board of mass m2m2 and length LL (Figure 1). The board rests on a frictionless horizontal surface. The coefficient of static friction between the board and the box is μsμs μsμs   Throughout the problem, use gg for the magnitude of the free-fall acceleration. In the hints, use ff for the magnitude of the friction force between the board and the box. Find Fmin, the constant force with the least magnitude that must be applied to the board in order to pull the board out from under the the box (which will then fall off of the opposite end of the board) Express your answer in terms of some or all of the variables μsμs m1m1 m2m2 g L Do not include ff in your answer.

A sphere of mass m= 2kg is in equilibrium tied to two strings as indicated in the figure. Find the tension T and the angle A of the rope hanging from the ceiling if the tension of the rope attached to the side wall is T = 4N. Consider g= 10m / s2.