Center of mass Hinge
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Q: The drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and…
A: Given data The weight of the beam is W = 340 N The angle applied force is θ = 44°
A uniform beam is suspended horizontally and attached to a
wall by a small hinge (Fig.). What are the directions (upward or
downward, and to the left or the right) of the components of the force
that the hinge exerts on the beam? Explain.
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- a horizontal rod (m=5.2 kg) is hinged to a wall at the left end and three forces are acting on the rod as shown in the figure: the force of gravity (mg), a tension force (T), and the force exerted by the hinge (broken into components Fx and Fy) If theta = 35 degrees, what must T be equal to in order to keep the rod static?A bucket crane consists of a uniform boom of mass M = 201 kg and length L 59.81 ft that pivots at a point on the bed of a fixed truck. The truck supports an elevated bucket with a worker inside at the other end of the boom, as shown in the figure. The bucket and the worker together can be modeled as a point mass of weight 201 lb located at the end point of the boom. Suppose that when the boom makes an angle of 66.1° with the horizontal truck bed, the bucket crane suddenly loses power, causing the bucket and boom to rotate freely toward the ground. Find the magnitude of the angular acceleration a of the system just after the crane loses power. Take the rotation axis to be at the point where the boom pivots on the truck bed. Use g = 9.81 m/s² for the acceleration due to gravity. For unit conversions, assume that 1 m = 3.28 ft and8. A uniform beam, length = 12 m, wt = 800 N, is hinged at the wall and makes an angle of 30° to the horizontal. A wire connected to the beam 2 meters from its end makes an angle of 45° to the beam. a) What is the tension in the wire? b) What is the vertical component of the force of the hinge and c) What is the horizontal component of the force of the hinge? 45 30
- A uniform plank of wood has a mass of 19.5kg and a length of 2.0m. A person holds the plank using both hands. The first hand exerts a downward force, F⃗ , at an end of the plank. The second hand exerts an upward force, F⃗ 2, at a distance of 50.0cm from the same end of the plank. What is the magnitude, in newtons, of the force F⃗ 2 What is the magnitude, in newtons, of the force F⃗ 1?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. The beam is fixed to the wall at an angle of 30 degrees above the horizontal. The angle between the cable and the beam is 40 degrees. What are the unknowns? -direction of tension in the cable -direction of the hinge force -magnitude of rhe tension in the cable -magnitude of the hinge forceThe drawing shows a uniform horizontal beam attached to a vertical wall by a frictionless hinge and supported from below at an angle θ = 35o by a brace that is attached to a pin. The beam has a weight of 342 N. Three additional forces keep the beam in equilibrium. The brace applies a force P¯ to the right end of the beam that is directed upward at the angle θ with respect to the horizontal. The hinge applies a force to the left end of the beam that has a horizontal component H¯ and a vertical component V¯. Find the magnitudes of these three forces.
- 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 horizontal 4.0 m long 5.0 N uniform bar at one end is attached to a wall by a frictionless hinge; and at the middle of the bar there is a vertical cable pulling down 7.0 N, and at the middle of the bar there is also a cable that is at 45 ° to the horizontal pulling up as shown. ii) What is the magnitude of the horizontal component of the force on the bar due to the hinge?A rigid beam of length 1.8 m is in equilibrium, with one end attached to a wall by a hinge, and the other end held in place by a thin, massless wire as shown in the figure on Zoom. The wire will break if tension exceeds 1300 N. What is the maximum mass of the beam that can still be supported by the wire?
- 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 uniform beam 4.2 m long and weighing 2200 N carries a 3700 N weight 1.50 m from the far end, as shown in the figure below. It is supported horizontally by a hinge at the wall and a metal wire at the far end. 1) How strong does the wire have to be? That is, what is the minimum tension it must be able to support without breaking? Express your answer in newtons. 2) What are the horizontal component of the force that the hinge exerts on the beam? Express your answer in newtons. 3) What are the vertical component of the force that the hinge exerts on the beam? Express your answer in newtons.