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1 A person exercises the quadriceps as shown. The diagram on the right shows a model of the leg, where the person's lower leg of length L = 0.60 m is held at an angle 0₁ = 60° with respect to the horizontal. The quadriceps muscle exerts a force FM via the tendon that attaches to the tibia at a distance d = 0.10 m from the knee, in order to lift a weight of mass m₁ = 5.91 kg that is attached to the foot. The tendon makes an angle of 0₂ = 11.5° with respect to the tibia. 2 What is the force required to hold the weight at the position shown in the diagram? Assume the person's lower leg weighs 150 N and its centre of mass is located at a distance L/2 from the knee. Round your answer to the nearest Newton. FM M d- 02 01 m₁

a. A 1200-N uniform boom of length 2.00 m is supported by a cable, as shown in the figure.  The boom is pivoted at the bottom, and a 2000-N weight hands from its top.  Find the tension in the cable and the components of the reaction force exerted on the boom by the floor. For the next two parts you can assume that the 2000-N weight is concentrated at the top end of the boom. b. Determine the total moment of inertia of the boom/weight system around the pivot point. c.  The cable now breaks, and the boom pivots until the right end hits the floor.  Determine the velocity of the right end at the instant before it hits the floor.

A force stretches a wire by 4.0 mm. A second wire of the same material has the same cross section and twice the length. How far will it be stretched by the same force?     4.0 mm     1.0 mm     2.0 mm     8.0 mm     16 mm

An archer's bow is drawn at its midpoint until the tension in the string is 0.866 times the force exerted by the archer. What is the angle between the two halves of the string? Number i ! Units ° (degrees)

a meter log is a uniform bar of mass m = 77 kg. You want to support it at a rest parallel to the ground. so you place it on a triangle support at 33 cm mark and tie it with a rope on the ground at the 28 cm mark. A) draw your own configuration out. calculate the tension of the rope ____ N, downward, upward, right, left, or none  and support force provided by the triangle support _______ N, downward, upward, right, left, or none    b) suppose a gumdrop (point mass mb = 14.00 kg) hangs on to the meter log at the 91 cm mark How large will the tension be on the rope? ______ N conceptually explain why it should increase, decrease, or stay the same, compared to part A.    C) Now with everything including the gumdrop, the triangle support has been moved away from the rope, to the end of the meter log.Explain why the system itself cannot stay balanced anymore, and the rope goes (T→0).  Calculate: rotational inertia of the system below. I = _______ kg·m2Calculate the sizes (+ only) of both the…

A 0.50-mm-radius fishing line made of nylon is 100 m long when no forces are applied. A fish is hooked and pulls with a tension force Of 250 N. What is the elongation?

A 12 000-N shark is supported by a rope attached to a 4.60-m rod that can pivot at the base. (a) Calculate the tension in the cable between the rod and the wall, assuming the cable is holding the system in the position shown in the figure. (Give you answer to three significant digits.) b) Find the horizontal force exerted on the base of the rod magnitude ------- N c) Find the vertical force exerted on the base of the rod. Ignore the weight of the rod. magnitude ------ N

a meter log is a uniform bar of mass m = 77 kg. You want to support it at a rest parallel to the ground. so you place it on a triangle support at 33 cm mark and tie it with a rope on the ground at the 28 cm mark. A) draw your own configuration out. calculate the tension of the rope ____ N, downward, upward, right, left, or none  and support force provided by the triangle support _______ N, downward, upward, right, left, or none    b) suppose a gumdrop (point mass mb = 14.00 kg) hangs on to the meter log at the 91 cm mark How large will the tension be on the rope? ______ N conceptually explain why it should increase, decrease, or stay the same, compared to part A.    C) Now with everything including the gumdrop, the triangle support has been moved away from the rope, to the end of the meter log.Explain why the system itself cannot stay balanced anymore, and the rope goes (T→0).  Calculate: rotational inertia of the system below. I = _______ kg·m2Calculate the sizes (+ only) of both the…