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.

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.

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.

Consider two blocks that are resting on top of each other. The lower block has mass m2 = 4.8 kg and is resting on a frictionless table. The upper block has a mass of m = 2.2 kg. Suppose the coefficient of static friction between the two blocks is given by l= 0.50. A force of magnitude Fis applied as shown for which it is the maximum Dushing force applied horizontally to the upper block so that the two blocks move togēther without slipping. F frictionless Motion m 2 What is the maximum pushing torce, F? (Ans: 15.74 N)

The accompanying figure shows a frictionless channel in the shape of a segment of a circle with center at "O". The channel has been anchored to a frictionless horizontal tabletop. You are looking down at the table. Forces exerted by the air are negligible. A ball is shot at high speed into the channel at "p" and exits at "r." Consider the following distinct forces: A downward force of gravity. A force exerted by the channel pointing from q to O. A force in the direction of motion. A force pointing from O to q.     Which of the above forces is (are) acting on the ball when it is within the frictionless channel at position "q"?

You and your family take a road trip on a long holiday weekend. In a certain section of the trip where the road is particularly uneven, the car goes over a bump that is curved downward with a radius of 23.0 m. See diagram below. The mass of the car and its passengers is 1100 kg. (a) When the car is at the highest point of the bump its speed is 7.35 m/s. Determine the magnitude, in N, and the direction of the force exerted by the road on the car at this highest point. magnitude |N direction ---Select-- (b) If the speed at the highest point is above a certain maximum value the car will lose contact with the road. Calculate this maximum speed in m/s. m/s

Two children push on opposite sides of a door during play. Both push horizontally and perpendicular to the surface of the door. One child pushes with a force of 17 N at a distance of 0.585 m from the hinges, and the second child pushes at a distance of 0.465 m. What is the magnitude of the force, in newtons, the second child must exert to keep the door from moving? Assume friction is negligible. F2=