A The leg and cast in Figure P4.18 weigh 200 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance w, weighs 105 N. Determine the weight w, and the angle a needed so that no force is exerted on the hip joint by the leg plus cast. w1 40 Figure P4.18
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- Jamal and Dayo are lifting a large chest, weighing 207 lb, by using the two rope handles attached to either side. As they lift and hold it up so that it is motionless, each handle makes a different angle with respect to the vertical side of the chest (Fig. P5.76). If the angle between Jamals handle and the vertical side is 25.0 and the angle between Dayos handle and the vertical side of the chest is 30.0, what are the tensions in each handle? FIGURE P5.76The leg and cast in the figure below weigh 250 N, with the center of mass as indicated by the blue arrow in the diagram. The counterbalance wi weighs 110 N. Determine the weight wa and the angle a needed so that no force is exerted on the hip joint by the leg plus cast. 172.4 Your response differs from the correct answer by more than 10%. Double check your calculations. N 62.19 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. 40The bear of weight 700 N walking on the horizontal beam pivoted at point A and supported by a rope at an angle 60∘ on point B. The bear wants to reach a basket full of honey. The basket weighs 80 N. The honey basket weighs 200 N, and the beam length 6 m. When the bear in at ? = 1 m, a. Find the tension of the rope supporting the beam. b. What is the component of the forces exerted on the wall (point A)?
- This problem concerns the concept of tension in a rope. Consider a rope subjected to a pulling force on its two ends as shown in (Figure 1). The rope is stationary. An arbitrary point P divides the rope into a left-hand segment L and a right-hand segment R. Figure wi L pull R 232 pull 1 of 3 Part A For segment R and segment L to hold together, they must exert forces on each other. What is the direction of the force exerted on segment R by segment L? View Available Hint(s) left right Submit Part B FLR Assume that segment R exerts a force of magnitude T' on segment L. What is the magnitude FLR of the force exerted on segment R by segment L? Give your answer in terms of T and other constants such as g. ► View Available Hint(s) = Submit % ΑΣΦ www ?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.Figure P8.27. Find the tension in each rope when a 700.-N worker stands 1.00 m from one end? e2cm lon ropes, as indicated by the blue vectors in 27. VA uniform plank of length 2.00 m and mass 30.0 ke by three ropes, as indicated by the blue vectors in supported Figure P8.27. Find the tension in each rope when a 700 N person is d = 0.500 m from the left end. er of gravig fo 12, modeling rethooran 8 B of model 10.26 T, T2 0.250 Theatthe le 40.0° lid or boln vibbud ns bano sdi svode m81 o + d » 3. 2.00 m di In bas rirob be ss gairda Figure P8.27 goil sdrto idgiod oh bail rel 2 00 bou d 28. A hungry bear weighing 700. N walks out on a heam in
- A 100N object is suspended from two massless ropes that are attached to the ceiling. The rope to the right makes an angle of 30degrees to the ceiling and the rope to the left makes an angle of 45degrees to the ceiling. What are the tensions in the rope?Consider 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.A uniform plank of length 2.00 m and mass 29.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 705-N person is d = 0.500 m from the left end. magnitude of T, 493.56 378 Your response differs from the correct answer by more than 10%, Double check your calculations. N 671.95 Your response differs from the correct answer by more than 10%, Double check your calculations. N magnitude of T. magnitude of T, 40.0° -2.00 m
- The center of mass of the arm shown in the figure is at point A. Find the magnitudes (in N) of the tension force Ft and the force Fs which hold the arm in equilibrium. (Let θ = 22.0°.) Assume the weight of the arm is 42.9 N.A box of mass M = 50 kg rests on a rough (ji) horizontal surface. When a force F = 300 N is acted on the box as %3D %3D shown in the figure below, the box becomes on the verge of slipping (Y alig de j gainall ). The coefficient of static friction of the rough surface is: F A. 0.92 B. 0.75 40° C. 0.14 D. 0.57 E. 0.34A person is pushing a fully loaded 28.90 kg wheelbarrow at constant velocity along a plank that makes an angle 32.0° with the horizontal. The load is distributed such that the center of mass of the wheelbarrow is exactly halfway along its length L. What is the magnitude of the total force F, the person must apply so that the wheelbarrow is parallel to that plank? You may neglect the radius of the wheel in your a nalysis. The gravitational acceleration is g = 9.81 m/s. N.