4. If block D weighs 300 lb and block B weighs 275 lb, determine the required weight of block C and the angle for equilibrium. B 30° C

4. Your upper arm exerts 60N and lower arm exerts 40N anteriorly and superiorly. When your upper and lower arms are bent at 90°, describe the magnitude and direction of the resultant force exerted on your arm. nff a long jumper has a forward (horizontal) velocity of 15m/sec and a vertical ntall and the magnitude of the

6. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and tell if they are going up or down. Round to the nearest tenth of a foot.

A weight of mass 100 kg hangs from two wires that make angles of 54° and 48°, respectively, below the horizontal, as shown in the diagram. 100kg T2 T₂ = T2 Find the tensions (forces) in both wires: T₁ Round your answer to 2 decimal places. i+ Round your answer to 2 decimal places. j. Round your answer to 2 decimal places. i+ Round your answer to 2 decimal places. j.

The weight of an individual walking is 824N. The hill they are walking on has a slope of 10 degrees. Assuming they are in a static equilibrium what is their normal force?

50. A Ferris wheel is 200 ft in diameter with its lowest point 3 ft off the ground. Once all the passengers have been loaded, the wheel makes one full rotation counterclockwise in 3 min. Suppose that a couple is seated at the lowest point on the wheel and are the last passengers to be loaded. a. Write a model representing the couple's horizontal position x (in feet) relative to the center of the Ferris wheel, t minutes after the ride starts. b. Write a model representing the couple's height y (in feet) above ground level, t minutes after the ride starts. c. Give the coordinates of the couple's position 2 min into the ride and describe the position.

5. At the instant of take-off, a long jumper has a forward (horizontal) velocity of 15m/sec and a vertical velocity of 10m/sec. Find the angle of take-off (relative to the horizontal) and the magnitude of the resultant velocity vector. 9ME

3. A plane flies 80 km S 50° E * and after a brief stopover flies 45 km S 25° W. Determine the plane's displacement, that is, the plane's magnitude and direction from the initial to its final destination.

Find mZNIJ if MLHIN = 80°, %3D M2NIJ = 2x + 9, and m/HIJ= 15x + 11. %3D H

3. A ball is thrown with an initial velocity of 70 ft/sec, at an angle of 35° with the horizontal. Find the vertical and horizontal components of the velocity. 4. To carry a 100-pound cylindrical weight, two people lift on the ends of short ropes that are tied to an eyelet on the top center of the cylinder. Each rope makes a 20° angle with the vertical. Draw a figure that gives a visual representation of the problem, and find the tension in the ropes.