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- Three friends ride a Ferris wheel with a diameter of 46m. Their combined mass with each car of the Ferris wheel is 435 kg. When their car is at position A, the steel support applies 502N force at the car at an angle of 40 degrees with the horizontal. What is the speed of the cars?Three friends ride a Ferris wheel with a diameter of 46m. Their combined mass with each car of the Ferris wheel is 435 kg. When their car is at position A, the steel support applies 502N force at the car at an angle of 40 degrees with the horizontal. What is the speed of the cars? Note: Topic: Uniform Circular Motion. There is no given figure.A 42 kg child sits on a bathroom scale while riding aFerris wheel. The child has a stopwatch and observesthat the wheel takes 32 seconds to complete tworevolutions. When the child is at the top of the wheel,he notices that the scale reads 29 kg. What is thediameter of this Ferris wheel?
- 2. Barry carries his tray of food to his favorite cafeteria table for lunch. The 0.50 m long trayhas a mass of 0.20 kg and holds a 0.40 kg plate of food 0.20 m from the right edge.Barry holds the tray by the left edge with one hand, using his thumb as the fulcrum, andpushes up 0.10 m from the fulcrum with his finger tips.a. How much upward force must his finger tips exert to keep the tray level? b. How might Barry make the tray easier to carry if he chooses to use only one hand?A 1Zero Suit Samuskg object is located at a distance of 6.4 x106 m from the center of a larger object whose mass is 6.0 x 1024 kg. What is the size of the force acting on the smaller object?*67. A gymnast does a one-arm handstand. The humerus, which is the upper arm bone (between the elbow and the shoulder joint), may be approximated as a 0.30-m-long cylinder with an outer radius of 1.00 × 10-²m and a hollow inner core with a radius of 4.0 × 10-³m. Exclud- ing the arm, the mass of the gymnast is 63 kg. (a) What is the compressional strain of the humerus? (b) By how much is the humerus compressed?
- a 5.0-kg block is taken to another planet that has the same mass as the Earth. What is the planet’s radius if the object weighs half on that planet as it would on Earth? Let R be the radius of Earth.500 mm Situation 1. A hand truck is used to move two kegs, each of mass 40 kg. Neglecting the mass of the hand truck, determine (a) the vertical force P that should be applied to the handle to maintain equilibrium when a = 35', (b) the corresponding 350 mm A 80 mm reaction at each of the two wheels. P. В 300 mmConsider the woman doing push-ups in the figure. She has a mass of 51.3 kg, CG land the distance from her feet to her center of mass is 0.85 m, while the distance from her feet to her hands is 1.7 m. a Freaction b Part (a) What force in newtons should the woman in the figure exert on the floor with each hand to do a push-up? Assume that she moves up at a constant speed. Part (b) The triceps muscle at the back of her upper arm has an effective lever arm of 1.25 cm, and she exerts force on the floor at a horizontal distance of 16 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. Part (c) How much work in joules does she do if her center of mass rises 0.21 m? Part (d) What is her useful power output, in watts, if she does 25 pushups in one minute? For the sake of simplicity, ignore any power used by her muscles lowering her body during each pushup.
- To determine the location of the center of mass of a car, the car is driven over a scale. When the front wheels are over the scale, the weight recorded by the scale is 5800 N, and when the rear wheels are over the scale, the scale reads 6500 N. The distance between the front and rear wheels is 3.20 m. How far behind the front wheels is the center of mass located? O 1.69 m O 1.72 m 0.845 m 1.50 m Ⓒ1.59 mTo get up on the roof, a person (mass 70.0 kg) places 6.00-m aluminum ladder (mass 10.0 kg) against the house on a concrete pad with the base of ladder 2.00 m from the house. The ladder rests against a plastic rain gutter, which we can assume to frictionless. The center of ladder is 2.00 m from the bottom. The person is standing 3.00 m from the bottom. Find the normal reaction and friction forces on the ladder at its base.1.0m 3.0m 0.5m mi m, PA N, 5. The drawing above shows two objects on a board supported at two locations. The m; = 40 kg (centered over P), m2=20 kg and m3=10 kg. a. Show the forces acting on the board below with arrows with labels beginning at their approximate point of application (see example for the force exerted by m;). (Don't forget the gravitational forces acting on the board.) P F1
