Problem 2: A uniform beam of length L= 1.9 m and mass M = 49 kg has its lower end fixed to pivot at a point P on the floor, making an angle 0 = 15° as shown in the digram. A horizontal cable is attached at its upper end B to a point A on a wall. A box of the same mass M as the beam is suspended from a rope that is attached to the beam one-fourth L from its upper end. M M.
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- A beam resting on two pivots has a length of L = 6.00 m and mass M = 77.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 61.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip. (b) Using the result of part (c) and the torque equilibrium equation, with torques computed around the second pivot point, find the woman's position when the beam is about to tip.x = (c) Check the answer to part (e) by computing torques around the first pivot point.x = (d)Except for possible slight differences due to rounding, is the answer the same for F and E?A uniform ladder stands on a rough floor and rests against a frictionless wall as shown in the figure. Since the floor is rough, it exerts both a normal force N1 and a frictional force f1 on the ladder. However, since the wall is frictionless, it exerts only a normal force N2 on the ladder. The ladder has a length of L = 4.4 m, a weight of WL = 53.5 N, and rests against the wall a distance d = 3.75 m above the floor. If a person with a mass of m = 90kg is standing on the ladder, determine the following. (a) the forces exerted on the ladder when the person is halfway up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? N (b) the forces exerted on the ladder when the person is three-fourths of the way up the ladder (Enter the magnitude only.) N1 = ? N N2 = ? N f1 = ? NThe figure (Figure 1) shows a model of a crane that may be mounted on a truck.A rigid uniform horizontal bar of mass m₁ = 95.0 kg and length L = 5.50 m is supported by two vertical massless strings. String A is attached at a distance d = 2.00 m from the left end of the bar and is connected to the top plate. String B is attached to the left end of the bar and is connected to the floor. An object of mass m₂ = 3500 kg is supported by the crane at a distance x = 5.30 m from the left end of the bar. Throughout this problem, positive torque is counterclockwise and use 9.80 m/s² for the magnitude of the acceleration due to gravity. Figure Part A String B String A x m2 mj L Find TA, the tension in string A. Express your answer in newtons using three significant figures. ▸ View Available Hint(s) TA = 9.22x104 N Submit Previous Answers Part B Correct Find TB, the magnitude of the tension in string B. Express your answer in newtons using three significant figures. ▸ View Available Hint(s) ΜΕ ΑΣΦ…
- A beam resting on two pivots has a length of L = 6.00 m and mass M = 87.0 kg. The pivot under the left end exerts a normal force n₁ on the beam, and the second pivot placed a distance = 4.00 m from the left end exerts a normal force n₂. A woman of mass m = 52.0 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. -L- m M (a) Sketch a free-body diagram, labeling the gravitational and normal forces acting on the beam and placing the woman x meters to the right of the first pivot, which is the origin. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen (b) Where is the woman when the normal force n₁ is the greatest? x = L m (c) What is n, when the beam is about to tip? N (d) Use the force equation of equilibrium to find the value of n₂ when the beam is about to tip. N (e) Using the result of part (c) and the torque equilibrium equation, with torques computed…The diagram above shows a 3.00 m long uniform beam. The left end of the beam is attached to a wall by a frictionless pivot. The beam is supported by a string that keeps the beam horizontal. The string makes an angle of 35.0° relative to vertical. The beam has a mass of 7.00 kg. A 2.00 kg mass is located at the end of the beam. A 6.00 kg mass is located 1.00 m from the 2.00 kg mass, as shown in the diagram. a. What is the tension in the string? b. What is the y-component of force applied to the beam by the pivot?A 5.2-m ladder rests against a wall as shown. The ladder has a mass of 27.6 kg. A 56.3-kg person stands on the ladder at a distance of 3.6 m from the bottom of the ladder. The foot of the ladder is 1.9 m from the bottom of the wall. Assume there is no friction between the ladder and the wall so that the force of the wall on the ladder is acting only in the horizontal direction. However, there is a friction force between the ladder and the ground. 1.) What is the force, in N, exerted by the wall on the ladder?
- Review Conceptual Example 7 before starting this problem. A uniform plank of length 5.0 m and weight 225 N rests horizontally on two supports, with 1.1 m of the plank hanging over the right support (see the drawing). To what distance x can a person who weighs 375 N walk on the overhanging part of the plank before it just begins to tip? X = i 41.1 m²A beam, uniform in mass, M = 51 kg and length L = 6 m, hangs by a cable supported at point B, and rotates without friction around point A. On the end far of the beam, an object of mass m = 12 kg is hanging. The beam is making an angle of θ = 15° at point A with respect to the + x-axis. The cable makes an angle φ = 25° with respect to the - x-axis at B. Assume ψ = θ + φ. Part (a) Select the correct free body diagram. In the figure the tension is T, horizontal and vertical components of the support force are Sx and Sy, FB is the weight of the beam, and Fm is the weight of the mass. Part (b) Find an expression for the lever arm for the weight of the beam, lB, about the point A? Part (c) Find an expression for the lever arm for the weight of the mass, lm? Part (d) Write an expression for the magnitude of the torque about point A created by the tension T. Give your answer in terms of the tension T and the other given parameters and trigonometric functions. Part (e) What is the…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 .Written or Image solution please, thank you! A uniform beam of mass 14.0 kg and length 1.00 m is suspended by a rope attached at a distance x = 17.0 cm from the right end of the beam as shown. The cable makes an angle ? = 29.0° with the beam. The other end of the beam is attached to a wall by a frictionless hinge. An object of mass m = 1.70 kg sits on the beam at a distance of 18.0 cm from the hinge. (a) Find the magnitude of the tension in the rope. (N) (b) Find the magnitude of the horizontal component of the force of the hinge on the beam. (N) (c) Find the magnitude of the vertical component of the force of the hinge on the beam. (N)A beam resting on two pivots has a length of L = 6.00 m and mass M = 94.0 kg. The pivot under the left end exerts a normal force n1 on the beam, and the second pivot placed a distance ℓ = 4.00 m from the left end exerts a normal force n2. A woman of mass m = 51.5 kg steps onto the left end of the beam and begins walking to the right as in the figure below. The goal is to find the woman's position when the beam begins to tip. (a)Where is the woman when the normal force n1 is the greatest? x = _____m(b) What is n1 when the beam is about to tip?____N(c) Use the force equation of equilibrium to find the value of n2 when the beam is about to tip.____N