From measurements. It is known that where and b are unit vectors along the membe

Question

From measurements. It is known that where and b are unit vectors along the members a and b. (See Figure P2.94.) The members make an angle of 35 degree with each other. Calculate the magnitude of the force F, the angle that F with the frame (say, with ), and the projection of along The positions of the markers on a while landing after an aerial are measured positive to a coordinate system in the laboratory. At is known from watching the Olympics, the angle the makes upon landing is one of the factors used by judges. In training athletes, markers are often used to determine these angles by measuring the locations relative to the laboratory frame of reference. Some sample measurements are shown in Figure P2.95. Determine the length of the leg and the angle of the knee-that is, the angle between the lower leg and the thigh

Explanation / Answer

a) length of leg = = 1- .15 = 0.85 m b) angle of thigh with horizontal A = tan^-1(1-.6 / 2.3-2.1) A = 63.43 angle of knee with horizontal B = tan^-1(.6-.15 / 2.3-2.15) B = 71.565 total angle = 63.43 + 71.565 = 135 degrees

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