A 3 meter long beam with weight 300 N is supported by a hinge at the wall and a cable as shown. A 300N block is positioned along the beam at a distance x from the wall. If the breaking strength of the cable is 500 N, what is the maximum value of x? 30°
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- 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 0.871 Incorrect mA 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 NA 400.0-N sign hangs from the end of a uniform strut. The strut is 4.0 m long and weighs 600.0 N. The strut is supported by a hinge at the wall and by a cable whose other end is tied to the wall at a point 3.0 m above the left end of the strut. (a) What is the y component of the tension in the rope? (b) What is the x component of the tension in the rope? (c) What is the magnitude of the tension in the rope? (a) y component of the tension: Ty = (b) x component of the tension: Tx = (c) What is the magnitude of the tension in the rope?
- A uniform ladder whose length is 6.0 m and whose weight is 43O N leans against a frictionless vertical wall. The coefficient of static friction between the level ground and the foot of the ladder is 0.42. What is the greatest distance the foot of the ladder can be placed from the base of the wall without the ladder immediately slipping?Ea- d ms A horizontal L=1.4 m long mb3D12kg uniform bar is hinged on the left end and pulled at the right end by a cable. The cable makes 30° angle with horizontal. A 22 kg store sign is suspended below the bar at d=0.18 m from the right end. Find the magnitude of horizontal hinge force.6m T 10m A 8m Figure 4 A B 6. A horizontal beam AB of mass m = 20kg is supported from end B by a cable and hinged to a A vertical wall at end A. Calculate the magnitude of the tension T in the cable when Batman, who has a mass M = 80 kg, stands midway along the beam. What are the x and y components of the force at the hinge?
- A uniform beam has a length of 15.2 m and a mass of 37.3 kg. The beam is horizontal and resting (in equilibrium) on two supports. One of the supports is located 4.09m to the right of the beam's center of mass. The second support is located 1.96 m to the left of the beam's center of mass. How much upward force is exerted on the beam by the first support?A uniform beam of length L = 11.7 meters and mass of 109.3 kg is pinned at one end and is being supported by a wire as shown. The wire is connected to the beam x = 3.3 meters from the pin. A person of mass 81.6 kg is standing all the way out on the edge of the beam. If θ = 17.3 degrees and φ = 79.4 degrees, what is the tension in the wire?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 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 NA 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.