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- Three friends ride a Ferris wheel with a diameter of 76m. Their combined mass with each car of the Ferris wheel is 389kg. When their car is at position A, the steel support applies 503N force at the car at an angle of 40degrees with the horizontal. What is the speed of the cars?Two box hang from the ends of a string suspended from a frictionless pulley. The mass on the left is chosen to create a tension of 4 N in the string. The box on the right has a weight of 2 N. What will be the acceleration of the box on the right? Assume the acceleration of gravity is 9.8 m/s?. 4 N 2 NAn arborist is cutting down a tree a 28 m high tree bystarting his cut 1.8 m above the ground. The tree has a mass of 3750 kg. The tree trunk can be thought of as a uniformly dense, thin rod. 1. What's the speed of the tree’s center of mass when the trunk is parallel to the ground on its way down. The tree rotates about the point where it is cut., 1.8 m above the ground. 2. What is the total amount of kinetic energy that the tree has at thatpoint of parallelism to the ground? How fast would a 950.0 kg truck have to be traveling to have the same kinetic energy as the tree?
- 1) A cable is attached to a 0.5 kg block that slides over the smooth rigid horizontal rod AB. The diagram shown depicts the vertical plane. The cable tension is constant value T. At point C the speed of the block is 6 m/s to the left and at point D the speed is 1 m/s to the left. Determine the value of T. Note: take gravitational acceleration g=9,806 3 m D C A 4 m-40 ft P2=20 ft 15 ft A 2000 lb car starts from rest at point 1 and moves without friction down the track shown. Determine: a) the force exerted by the track on the car at point 2, and b) the minimum safe value of the radius of curvature at point 3.A 6-m long ladder has a mass of 13 kg., and its center of gravity is 2.4 m from the bottom along the ladder. The ladder is resting on a 5° upward sloping floor at A and on a wall inclined to the right at 5° from the vertical at B, so that it makes an angle of 60° with the horizontal. How far up along the ladder can a 78-kg man climb before the ladder is on the verge of slipping? The angle of friction at all contact surfaces is 15°. Also determine the total reaction at A and B in Newton. Note: Point A is at the left of point B.
- Q5 | A 6.00-kg block and an 8.00-kg block are connected as shown. When released, the 6.00- kg block accelerates downward and the 8.00-kg block accelerates to the right. After each block has moved 2.00 cm, the force of gravity has done (Prove and tick below.) 8.00 kg A. more work on the 8.00-kg block than on the 6.00-kg block. B. the same amount of work on both blocks. C. less work on the 8.00-kg block than on the 6.00-kg block. D. comparably high work on the 8.00-kg block than on the 6.00-kg block. 6.00 kgThe weight of a yacht and its passengers is 11.60 KN. The boat moves in a circular path with a radius of 24 meters with a constant speed of 6 m/s. (A) compute the tangential component of the total force acting on the yacht. (B) What is the magnitude of the force if it's increasing its speed at 2 m/s^2Motorized moving platform is lifting a car with some acceleration. If the combined weight of the lift platform and car is 2800kg, and the motorized lift weight is 200000kg, determine the maximum acceleration of the platform before tipping occurs. Weight of the platform a=2.1m, b = 4m, c = 4.2m, d = 3m FBD of the lift: Vertical lift platform. center of gravity (car) FBD of the car: a C Too center of gravity (lift)
- A toy boat slides down a frictionless track and around a circular loop as shown in the diagram below. A C B D The boat slid around the vertical circle and at point C its speed was 2.6 ms-1. The mass of the boat is 150 g and the radius of the circular loop is 14 cm. a. Find the magnitude of the weight of the boat. b. Find the magnitude of the centripetal force on the boat as it moves past point C. c. Hence, find the normal force the track applies to the boat as it moves past point C.When landing on a carrier, a 10,000-lb airplane is given a deceleration og 3kg(96.6 ft/sec^2) by means of a cable engaged by an arresting hook. Find the tension in the cable. Format of the answer is lb.1 a. An aircraft is getting loaded with checked luggage. The ramp that has a moving belt makes an angle of 60° to the vertical line as shown in Fig. 1a. Assuming the belt is stationary (Fig. 1a) i. Fig. 1a 60° Draw a free body diagram of a single luggage that is placed on the belt. Show weight as vertical and horizontal components. (5 ii. Suppose the belt now starts moving from rest, determine the acceleration of the bag and its speed after 2s. The mass of the bag is 22 kg, coefficient of kinetic friction µ = 0.4 and the force produced by the belt on the bag FBelt= 120 N.