Two blocks, each of mass m, are attached to the ends of a massless rod which pivots as shown in the figure (Figure 1). Initially, the rod is held in the horizontal position and then released. Calculate the magnitude of the net torque on this system when it is first released. Use the fact that l2>l1. Find the direction of the net torque on this system when it is first released.
Two blocks, each of mass m, are attached to the ends of a massless rod which pivots as shown in the figure (Figure 1). Initially, the rod is held in the horizontal position and then released. Calculate the magnitude of the net torque on this system when it is first released. Use the fact that l2>l1. Find the direction of the net torque on this system when it is first released.
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Chapter1: Units, Trigonometry. And Vectors
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Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Two blocks, each of mass m, are attached to the ends of a massless rod which pivots as shown in the figure (Figure 1). Initially, the rod is held in the horizontal position and then released.
Calculate the magnitude of the net torque on this system when it is first released. Use the fact that l2>l1.
Find the direction of the net torque on this system when it is first released.
![The image displays a balanced beam setup, commonly used to illustrate principles of equilibrium in physics. In this diagram:
- There is a horizontal beam with two equal masses, labeled "m," positioned at each end.
- The beam is supported at its center by a triangular pivot point, suggesting that it's in equilibrium.
- The distances from the pivot to each mass are labeled \( l_1 \) and \( l_2 \).
- The presence of the pivot and equal masses hints at the concept of torque, where the beam remains in balance when the torques on either side of the pivot are equal, which implies that in this case either \( l_1 = l_2 \) or the beam is adjusted to accommodate any difference in distance with equal masses.
This setup is frequently used in educational contexts to explain the conditions required for rotational equilibrium, specifically the principle that the sum of clockwise torques equals the sum of counterclockwise torques.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Feb947950-888d-4dc6-a3a4-97b845c18b59%2F1a1907d1-918e-4f8f-b6c6-fdbfe34222cb%2F2nfzm3o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The image displays a balanced beam setup, commonly used to illustrate principles of equilibrium in physics. In this diagram:
- There is a horizontal beam with two equal masses, labeled "m," positioned at each end.
- The beam is supported at its center by a triangular pivot point, suggesting that it's in equilibrium.
- The distances from the pivot to each mass are labeled \( l_1 \) and \( l_2 \).
- The presence of the pivot and equal masses hints at the concept of torque, where the beam remains in balance when the torques on either side of the pivot are equal, which implies that in this case either \( l_1 = l_2 \) or the beam is adjusted to accommodate any difference in distance with equal masses.
This setup is frequently used in educational contexts to explain the conditions required for rotational equilibrium, specifically the principle that the sum of clockwise torques equals the sum of counterclockwise torques.
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