A 78.5-kg mountain climber, who is 1.63 m tall and whose center of mass is 1.05 m from his feet, climbs down a vertical cliff with his body raised 35.0⁰ above the horizontal (see figure). He holds the rope 1.41 m from his feet and it makes a 22.0° angle with the cliff face. a. Find the tension in the rope. b. Find the horizontal and vertical components of the force that the cliff exerts on his feet. (Treat them like the components of a hinge's force.)
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- a. Saif is going in his bike with an initial speed of 24.2 m/s and as he approaches a crane, the braking system abruptly brings the 223kg bike (rider mass included) to a speed of 4.3 m/s over a distance of 6.7m. Determine the braking force applied to his bike. b. A tow truck is experiencing 600 N tensional force in the cable and the cable makes a 60o angle with the horizontal, If the mass of the car is 2400 kg, calculate the acceleration with which it gets lifted? c. A Physics 1 student got confused by Newton’s laws and asks her teacher this question “Astronauts in outer orbit are weightless (or float) because there is no gravity there”. Is this true? If not, explain the mistake in this statement.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 inConsider the woman doing push-ups in the figure. She has a mass of 49.2 kg, and the distance from her feet to her center of mass is 0.96 m, while the distance from her feet to her hands is 1.75m. 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. b. The triceps muscle at the back of her upper arm has an effective lever arm of 1.95 cm, and she exerts force on the floor at a horizontal distance of 15.5 cm from the elbow joint. Calculate the magnitude of the force in newtons for each triceps muscle. c. How much work in joules does she do if her center of mass rises 0.27 m? 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.
- Answer the following questions. 1. A box of weight 100 N hangs from the rope. The rope weighs 50 N and is uniform. What is the tension in the rope? a. 100 N throughout the rope b. 150 N throughout the rope It varies from 100 N at the bottom of the rope to 150 N at the с. top. A block of weight 25 kg is resting on an inclined surface with dimensions of 4 meter wide and 3 m high (See figure at the fight). Find the following: 2. Which of the following about the figure NOT true? Given wotating the axes 37 degrees clockwise. a. Fx=Ff-245sin37 b. Fx=Ff-25sin37 5m c. Fx=Ff-245cos 37 d. Fx=Ff-245sin37 3 m 3. Which of the following about the figure NOT true? Given 37 otating the axes 37 degrees clockwise. a. Fy=N-245cos37 b. Fy=N-245sin37 c. Fy=N-25cos37 d. Fy=N-25sin37 4. Find the Normal force Nacting on the object. a. 19.96 N b. - 19.86 N c. 195.66 N d. 147.44 N 4 m 5. Find the friction force Ff a. 19.96 N b. - 19.86 N c. 195.66 N d. 147.44 N 6. Find the coefficient of static friction µ. a.…A ladder of negligible mass composed of two ?-long rails that are hinged at the top, is placed on top of a frictionless floor. A metal bar, connecting both rails halfway up the ladder is placed so that the two rails make an angle of ?= 44.0◦ at the apex. Lastly, a ? = 4.40[kg] block is placed 2/3 of the way up the ladder, as shown.A. What's the magnitude of the tension in the metal bar?B. What's the magnitude of the normal force exerted on the bottom right side of the ladder?C. What's the magnitude of the normal force exerted on the bottom left side of the ladder?D. What's the magnitude of the force the right side of the ladder exerts on its left side?A monkey of mass m = 10.0 kg is holding on to two vines each of length l = 3.00 m. The vines form an angle with the horizontal of 40.0 degrees (see figure). The monkey is not moving and the vines are considered massless and not stretchable. a. What is the distance d between the mounting points of the vines at the top? b. Draw a free body diagram of the monkey and indicate all forces.
- Two construction workers carry a 2.8 m long wooden beam on their shoulders. It is horizontal while they carry it. One worker is at the end of the beam and the other is standing 2.6 m away from the first worker. The beam has a mass of 190 kg. a. Do the workers exert the same amount of force on the beam? You can just use intuition on this one. No math is required.X Exit full screen The appara tus ot thé' injured leg and at the same time provider the trac tron along the leg to the full weight Suppor 25 250 1It the leg to be suppar ted weighs 47.0N (a) What must be the weigh f of w (b) What trac tion force does this product along the leg? temt The center of mass of the arm shown in the figure is at point A. Find the magnitudes (in N) of the tension force F, and the force F which hold the arm in equilibrium. (Let 8 = 24.0º.) Assume the weight of the arm is 44.7 N. S 0 8.00 cm N e N 29.0 cm. F
- A 20 kg dog stands on a 40 kg platform that is supported by two ropes. One rope is attached to the right edge of the platform and the other is attached 50 cm from the left edge of the platform. The dog sits 50 cm from the right edge of the platform. A 5.0 kg cat jumps up, but is wary of the dog abs stays all the way on the left edge. The platform is 2.0 m long. What is the tension in each rope?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.You are working in an ice skating rink and have been asked to hang a new banner on the wall. Your friend is helping you so that the ladder does not collapse by exerting a force FAL at an angle ϕ relative to the horizontal. The ladder has a length L and makes an angle of θ with respect to the vertical wall. You have a mass, mY, and are a horizontal distance x from the wall. The ladder has a mass of mL. Because the wall is slick, and the ice on the floor is slick, the frictional forces acting on the ladder are negligible. Find a formula for the magnitude of the force that your friend must exert to keep the ladder from falling, in terms of the following variables: x,L,mY,mL,θ,ϕ. Then use the following values to get a number for the magnitude of FAL θ = 34.4 degreesϕ = 26.144 degreesx = 1.612 metersL = 6.2 metersmY = 98.0 kgmL = 32.34 kg