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- A gymnast rises onto her toes, as shown in the picture on the right. The floor pushes up on the ball of her foot with a force of N=313 N. If 0=56.0°, what are FH the forces in her heel (TH) and ankle joint (T), and what is the angle o? Answers: TH=481 N; T,=761 N; b=20.7° N, 0. 4.25 cm 9.66 cm 5.The image below depicts the Apollo 16 Lunar Module (LM) on the moon's surface. The diagram to the right is a model of one of the four landing gear assemblies. Determine the force supported by members AB, AC, and AD under the assumption that the weight of the LM is uniformly distributed by all four landing gear assemblies. Use Mathematica or an online calculator such as the WolframAlpha 3 Equation System Solver to solve the 3 x 3 system of equations that you will end up with. Z NASA X A (2.5, 2.5, -2.2) m B (1.5, 1.5,0) m C(2, 1,-1.2) m D(1,2,-1.2) m B DA student gets his car stuck in a snow drift. Not at a loss, having studied physics, he attaches one end of a stout rope to the vehide and the other end to the trunk of a nearby tree, allowing for a small amount of slack. The student then exerts a force F on the center of the rope in the direction perpendicular to the car-tree line, as shown in the figure below. If the rope is inextensible and if the magnitude of the applied force is 504 N, what is the force on the car? (Assume equilibrium conditions.) KN 12 m Tree 0.50 m
- A loaded penguin sled weighing 61.0 N rests on a plane inclined at angle θ = 23.0° to the horizontal (see the figure). Between the sled and the plane, the coefficient of static friction is 0.260, and the coefficient of kinetic friction is 0.120. (a) What is the minimum magnitude of the force ?→�→, parallel to the plane, that will prevent the sled from slipping down the plane? (b) What is the minimum magnitude F that will start the sled moving up the plane? (c) What value of F is required to move the sled up the plane at constant velocityConsider two geometrically identical marbles stacked in a container as shown. The radius of each of the marbles is R. while the width of the container is 2.9R. The marble at the top has a weight 0.78 N while the weight of the lower marble has a weight of 0.82 N. What is the magnitude of the normal force at point B? Express your answer in Newtons and with two decimal places. C А Вpls write clearly