Two blocks A (mass = 10 kg) and B are connected together by a string and placed on a smooth fixed right angled incline. The pulley and string are massless. The system is at rest. Then which of the following options is/are correct?
Question
Two blocks A (mass = 10 kg) and B are connected together by a string and placed on a smooth fixed right angled incline. The pulley and string are massless. The system is at rest. Then which of the following options is/are correct?
Solution 1
You haven't provided the options for the question. However, I can help you understand how to approach this problem.
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Identify the forces acting on each block: For block A, the forces are gravity (downwards), normal force (perpendicular to the incline), and tension (along the incline). For block B, the forces are gravity (downwards), normal force (perpendicular to the incline), and tension (upwards along the incline).
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Apply Newton's second law (F=ma) to each block separately: For block A, the net force along the incline is zero because it's at rest. So, the tension equals the component of the weight of block A along the incline. For block B, the net force along the incline is also zero, so the tension equals the weight of block B.
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Equate the two expressions for tension to find the relationship between the masses of the blocks or the angle of the incline.
Without specific options or more information about block B or the incline, I can't provide a more specific answer.
Solution 2
You haven't provided the options for the question. However, I can help you understand how to approach this problem.
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Identify the forces acting on each block: For block A, there is the force of gravity acting downwards and the normal force from the incline acting perpendicular to the incline. For block B, there is also the force of gravity acting downwards, the normal force from the incline, and the tension in the string.
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Apply Newton's second law: This law states that the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. You can apply this law separately to each block to get two equations.
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Solve the equations: You can solve these equations to find the tension in the string and the acceleration of the blocks.
Remember, since the system is at rest, the net force acting on each block must be zero. This means the forces acting up the incline must balance the forces acting down the incline.
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