A uniform plank of length 2.00 m and mass 31.0 kg is supported by three ropes, as indicated by the blue vectors in the figure below. Find the tension in each rope when a 680-N person is d = 0.500 m from the left end. magnitude of T, magnitude ofT magnitude of T, 40.0 2.00 m-

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When you lift an object by moving only your forearm, the main lifting muscle in your arm is the biceps. Suppose the mass of a forearm with hand is 1.60 kg. If the biceps is connected to the forearm a distance of 2.4 cm from the elbow, how much force must the biceps exert to hold a 42 N ball at the end of the forearm at distance of 36.0 cm from the elbow, with the forearm parallel to the floor, in Newtons? Use g = 10.0 m/s2. Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

A uniform drawbridge must be held at a 37° angle abovethe horizontal to allow ships to pass underneath. The drawbridge weighs45,000 N and is 14.0 m long. A cable is connected 3.5 m from thehinge where the bridge pivots (measured along the bridge) and pullshorizontally on the bridge to hold it in place. What is the tension in the cable?

4. A uniform beam of mass m, and length L is supported as shown below. There is a pin in theb bottom end of the beam and a mass of mass m, hanging from the top end of the beam. Find the magnitude of the tension in the wire attaching the beam to the ground and force from the pin on the beam.

The man is holding upthe 35-kg ladder ABC by pushing perpendicular to the ladder. The total length of the ladder is AC= 6m. If the maximum force that the man can exert is 400Nat B which is 2m from A, determine the smallest angle, theta, at which the man can support the ladder.

The uniform boom shown below weighs 644 N, and the object hanging from its right end weighs 416 N. The boom is supported by a light cable and by a hinge at the wall. 45° | 20° 416 N Calculate the tension in the cable and the force by the hinge on the boom (both in N). (Enter the magnitudes.) tension in the cable force by the hinge N Does the force by the hinge act along the boom? (Assume this force acts along the boom if its direction in degrees above the horizontal is within 2% of the boom's angle above the horizontal.) O Yes O No

A long, uniform 2 kg rod of length 1.8 m is supported at the left end by a horizontal axis into the page and perpendicular to the rod, as shown. The right end is connected to the ceiling by a thin vertical thread so that the rod is horizontal. Thread 1.8 m Horizontal Аxis 2 kg Determine the magnitude of the force ex- erted on the rod by the axis. The acceleration of gravity is 9.8 m/s² , and the moment of in- ertia of the rod about the axis at the end of the rod is 3 Answer in units of N.

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The pulley system holding a crate of unknown weight is at equilibrium. Cord BD can support a maximum load of FBD = 1860 N. www D 01 A B a. Determine the maximum weight of the crate, W. b. Determine the angle 0₁. Round your final answers to 3 significant digits/figures. ) N W = 0₁ = 12 5 13 degrees