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A 4-m long, 150-kg steel beam is attached to a wall with one end connected to a hinge that allows the beam to rotate up and down. The other end of the beam is held in a horizontal position with a cable that makes a 27° angle with the beam and is attached to the wall (see (Figure 1)).
a.What is the tension force that keeps this beam in static equilibrium?
b. A mass of 75 kg is hung from the beam 3 meters away from the hinge (see (Figure 2)). Now what is the tension force that keeps this beam in static equilibrium?
c.What is the vertical component of the force that the hinge exerts on the beam?
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- A block of mass MB=2.5 kg is attached to a pulley of mass MP=2MB and R=10.0 cm (Icyl = 1/2MR2) and is pulled from the other side with force F=30.6 N with a massless string as in Figure 3. A. Write an expression for Newton's 2nd Law for the block. B. Write an expression for Newton's 2nd Law (for torque) for the pulley. C. Calculate the acceleration of the system and indicate the direction.With regard to mechanical equilibrium with respect to forces and torques: A. Net Forces and Net Torques cannot be positive. B. The Net force and Net Torque vanish for at least one system components. C. Net forces or net torques vanish for all system components. D. Net forces and net torques vanish for all system components.A solid rod of mass 200 g and length L = 0.50 m is suspended using two strings with equal tensions T₁ and T2 as shown below. How far from the left end of the rod should you place a 50 g weight while maintaining the the rod horizontal? T2 A. L/2 B. L/3 C. L/6 OD. 2L/3 OE. 5L/6 T₁
- Two forces are acting on an object. Which of the following statements are correct? a. The object is in equilibrium if the forces are equal in magnitude and opposite in direction. b. The object is in equilibrium if the net torque on the object is zero. c. The object is in equilibrium if the forces act at the same point on the object. d. The object is in equilibrium if the net force and the net torque on the object are both zero. e. The object cannot be in equilibrium because more than one force acts on it.6. A yoyo is dropped as shown in the figure below. Neglect air friction. The mass of the yoyo is 0.160 kg, R = 10 cm and Ro = 2.0 cm. a. Show and label the translational forces acting on the yo-yo's center of gravity. Show and label the force(s) exerting non- zero torque(s) about the yo-yo's center of gravity at their point of application. Only show non-zero torques. b. If the linear acceleration of the yo-yo is 2.0 m/s/s, determine the tension of the string.Question on attached image. In the drawing to the right, a 90.0 cm long metal bar having a mass of 0.500 kg is supported by two strings as shown. a) Determine the value of the tension in each string. b) Calculate the position of the center of mass from the left end of the torque bar.
- If an object is in equilibriuim, the net torque about any arbitrary axis must be zero. A. True B. FalseThe fishing pole in the figure below makes an angle of 20.0° with the horizontal. What is the magnitude of the torque exerted by the fish about an axis perpendicular to the page and passing through the angler's hand if the fish pulls on the fishing line with a force F = 125 N at an angle 37.0° below the horizontal? The force is applied at à point L = 1.92 m from the angler's hands. N.m -I 20.0° 37.0 1 20.0° Fa. What is the maximum torque applied by the cable? (Give your answer in N m.) b. What is the torque due to the weight of the bridge? (Give your answer in N m.) c. How far can Lancelot ride out along the bridge before the cable breaks? (Give your answer in m.) Note: At his maximum distance, the torque from the cable will equal the torque from both the weight of the bridge and the weight of Lancelot.
- A. Find the required F to achieve Net Torque = 0. Assume b = 2a. B. After a design modification, all forces including F stay the same. If new design is basedon b = 1.5a, what will be the net torque after modifications?3.) Consider the drawing below: Ť The 4.0-kg hinged rod is uniform and has a = 2.0m. The object at the end of the rod masses 8.0-kg. A wire affixed to the wall holds the rod horizontally. The wire makes an angle of 28° with the rod. a. Draw a picture. b. Draw a free-body diagram centered at the top of the loop. c. Use equilibrium considerations to determine the tension in the wire and the x and y forces on the rod's hinge.Help me please