A 520-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 140-N rod as indicated in the figure below. The left end of the rod is supported by a hinge, and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.0° T ICE CREAM SHOP (a) Find the tension T in the cable. (Give the magnitude of the tension.) N (b) Find the horizontal and vertical components of force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component N vertical component N

45 kg.…* X = ? +0.4 m -0.5 m→ 30 kg 40 kg The 3m long uniform plank is supported by a fulcrum at the midpoint. Where should a 45kg student must be from the midpoint to be able to balance the plank?

A 420-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 130-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) 30.0 IE CEAM MOP (a) Find the (magnitude of the) tension T in the cable. N (b) Find the horizontal and vertical components of the force exerted on the left end the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component vertical component

The figure shows a 4.20-kg, 1.80-m-long rod hinged to a vertical wall and supported by a thin wire. The wire and rod each make angles of 45° with the vertical. When a 10.0-kg block is suspended from the midpoint of the rod, the tension T in the supporting wire is 49.3 N. The wire will break when the tension exceeds 75.0 N. 45° 45° T 10kg Tipler & Mosca, Physics for Scientists and Engineers, 6e © 2008 W.H. Freeman and Company What is the maximum distance dmax from the hinge from which the block can be suspended? dmax = m

A uniform 8.00 m, 1500 kg beam is hinged to a wall and supported by a thin cable attached 2.00 m from the free end of the beam, as shown in the figure. The beam is fixed to the wall by a hinge at an angle of 30.0 above the horizontal. The angle between the cable and the beam is 40.0. MO 400 What is the direction of the torque exerted by the beam around the point where the cable is attached to the beam? O clockwise O counterclockwise

A 560-N uniform rectangular sign 4.00 m wide and 3.00 m high is suspended from a horizontal, 6.00-m-long, uniform, 150-N rod as indicated in the figure below. The left end of the rod is supported by a hinge and the right end is supported by a thin cable making a 30.0° angle with the vertical. (Assume the cable is connected to the very end of the 6.00-m-long rod, and that there are 2.00 m separating the wall from the sign.) T 30.0 ICE CREAM SHOP (a) Find the (magnitude of the) tension T in the cable. (b) Find the horizontal and vertical components of the force exerted on the left end of the rod by the hinge. (Take up and to the right to be the positive directions. Indicate the direction with the sign of your answer.) horizontal component vertical component N

A uniform 36.0-kg beam of length ℓ = 4.20 m is supported by a vertical rope located d = 1.20 m from its left end as in the figure below. The right end of the beam is supported by a vertical column. Answer parts a-b.

A uniform beam of mass 11.0 kg and length 1.10 m is suspended by a rope attached at a distance x = 19.0 cm from the right end of the beam as shown. The cable makes an angle ? = 26.0° with the beam. The other end of the beam is attached to a wall by a frictionless hinge. An object of mass m = 1.60 kg sits on the beam at a distance of 16.0 cm from the hinge. Screen Shot 2020-04-25 at 1 (a) Find the magnitude of the tension in the rope. : Your answer is incorrect. N (b) Find the magnitude of the horizontal component of the force of the hinge on the beam .

Two uniform planks, each of mass m = 7.45 kg and length L = 2.51 m, are connected by a hinge at the top and by a chain of negligible mass attached at their centers, as shown in the figure. The assembly will stand upright, in the shape of an A, on a frictionless surface without collapsing. If the chain has the length 0.81 m, find each of the following:   a) the absolute value of the tension in the chain,   b) the absolute magnitude of the force on the hinge of each p lank

A beam rests on a fulcrum, 1.4 meters from one end. A weight of 274kg is suspended from this end causing the beam to balance. If the weight of 274 is suspended on the opposite end of the beam, it is necessary to suspend a 2855kg weight on the first end in order to effect an even balance. Use g= 9.81m/s2. Find the length of the beam.