1.2.12 A plate whose weight is G = 8 N is held in balance by two ropes AB and CD located in a vertical plane. It is necessary to determine the tension of the rope CD if the angle between the ropes is equal to? = 30°. Answer: 16.
This digital product is a solution to problem 1.2.12 from the collection of problems in physics by Kepe O.. It is intended for those who want to test their knowledge in physics and prepare for exams.
This solution describes in detail how to solve a problem where a plate weighing G = 8 N is held in equilibrium by two ropes AB and CD located in a vertical plane, and it is necessary to determine the tension of the rope CD at an angle between the ropes ? = 30°.
The presented solution is made in accordance with all rules and requirements, and also contains detailed explanations and illustrations that will help you easily understand the material.
After payment, you will have access to the digital product and will be able to download it in a convenient format.
This product is a solution to problem 1.2.12 from the collection of problems in physics by Kepe O.?. It is intended for those who want to test their knowledge in physics and prepare for exams.
The problem presents a plate weighing 8 N, which is held in equilibrium by two ropes AB and CD located in a vertical plane. The task is to determine the tension of the rope CD at an angle between the ropes of 30°.
The presented solution is made in accordance with all rules and requirements, and also contains detailed explanations and illustrations that will help you understand the material. After payment, you will have access to the digital product and will be able to download it in a convenient format. The answer to the problem is 16.
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Solution to problem 1.2.12 from the collection of Kepe O.?. consists in determining the tension of the rope CD, which holds a plate weighing 8 N in balance, provided that the ropes AB and CD are located in a vertical plane and form an angle? = 30°.
To solve the problem it is necessary to apply the laws of equilibrium. Since the plate is in equilibrium, the sum of the forces acting on it must be zero. It is known that the weight of the plate is directed vertically downwards and is equal to 8 N. Thus, the sum of the vertical components of the forces acting on the plate should also be equal to zero.
The tension in the rope AB is directed upward at an angle ? to the horizon, and its vertical component is equal to Tsin(30°). The tension in the rope CD is directed downward, and its vertical component is equal to Tsin(30°). Thus, the sum of the vertical components of the forces is equal to Tsin(30°) - Tsin(30°) - 8 = 0.
From here we get the equation: T = 16 N.
Thus, the tension in the rope CD holding a plate weighing 8 N in equilibrium at an angle ? = 30°, equals 16 N.
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