+1 862 207 3288 the angle of the incline
1. If the base of a certain ramp is 17.2 meters long, and its height is 7.3 meters, what is the angle of the incline? Give your answer to the nearest hundredth.
2-The cartesian coordinates of a point are (7.2,0.2). If this point were given in polar coordinates – that is, in terms of (r,?) – what is the value of ?? Give your answer to the nearest hundredth.
3-The cartesian coordinates of a point are (7.3,3.4). If this point were given in polar coordinates – that is, in terms of (r,?) – what is the value of r? Give your answer to the nearest hundredth.
4-What length of guy wire is needed to stretch from the top of a 13.1 meter telephone pole to a ground stake located 2.6 meters from the foot of the pole? Give your answer to the nearest hundredth and remember the unit (use the abbreviation).
If ?1 is 62.3 degrees and ?2 is 106.2 degrees, what angle is made between the vertically hanging load and the boom? Give your answer to the nearest tenth.
5-What is the height in centimeters of a woman who is 5 feet and 6 inches tall?
6-Four ropes, all at right angles to each other, pull on a ring. The forces are A = 40 N, E; B = 80 N, N; C = 70 N, W; and D = 20 N, S. Find the resultant direction of force on the ring. Give your answer in degrees.
6-Velocity has a magnitude and a direction that can be represented by a vector. Consider a boat moving initially with a velocity of 30 m/s directly west. At some later instant the boat is found to have a velocity of 12 m/s at 30° S of W. What is the change in velocity? Give the direction as measured from the east direction. Give your answer in degrees.
7-The length of a notebook is 234.5 mm and the width is 158.4 mm. Express the surface area in square meters.
8-Given that A = 24 m, W; B = 50 m, N. Find the magnitude of B – A.
9-The speed limit on an interstate highway is posted at 75 mi/h. What is this speed in kilometers per hour?
10-Given that A = 24 m, W; B = 50 m, N. Find the magnitude of A + B.
11-A downward force of 200 N acts simultaneously with a 500-N force directed to the left. What is the magnitude of the force?
12-An electrician must install an underground cable from the highway to a home located 1.20 mi into the woods. How many feet of cable will be needed?
13-Two displacements are: A = 9 m, E and B = 12 m, S. Give the magnitude of (A – B).
14-Find the force required to pull a 40-N sled horizontally at constant speed by exerting a pull along a pole that makes a 30° angle with the ground (µk = 0.4).
15-A horizontal force of 40 N will just start an empty 600-N sled moving across packed snow. After motion is begun, only 10 N is needed to keep motion at constant speed. Find the coefficient of kinetic friction.
16-A 2-N eraser is pressed against a vertical chalkboard with a horizontal push of 12 N. If µs = 0.25, find the vertical force required to just start motion up the board.
17-What horizontal push P is required to just prevent a 200 N block from slipping down a 60° inclined plane where µs = 0.4?
18-A 200 N sled is pushed along a horizontal surface at constant speed with a 50-N force that makes an angle of 28° below the horizontal. What is the coefficient of kinetic friction?
19-A single chain supports a pulley whose weight is 40 N. Two identical 80-N weights are then connected with a cord that passes over the pulley. What is the tension in the supporting chain?
20-A 70-N block of steel is at rest on a 40° incline. What is the normal force?
21-A 70-N block of steel is at rest on a 40° incline. What is the static friction force directed up the plane?
22-A cable is stretched horizontally across the top of two vertical poles 20 m apart. A 250-N sign suspended from the midpoint causes the rope to sag a vertical distance of 1.2 m. What is the tension in each cable segment?.
23- A 60-N toolbox is dragged horizontally at constant speed by a rope making an angle of 35° with the floor. The tension in the rope is 40 N. Determine the magnitude of the friction force.
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