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A body of weight W is suspended from the ceiling of a room through a rope of weight R. The ceiling pulls the rope by a force of
- a)W
- b)R
- c)W + R
- d)(W + R)/2
Correct answer is option 'C'. Can you explain this answer?
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A body of weight W is suspended from the ceiling of a room through a r...
It can clearly be option C because if you just read the above information, you will come to know that the two forces which are acting over it is the weight of the Rope,R and the weight of the body,W so the force with which the the roof will pull the body will obviously be the sum of the two forces and hence it will be W+R
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A body of weight W is suspended from the ceiling of a room through a r...
Ceiling Pulling Force on the Rope
The force exerted by the ceiling on the rope can be determined by considering the forces acting on the rope. There are two forces acting on the rope in this scenario:
1. Weight of the rope (R): The rope itself has weight, which is equal to R.
2. Tension in the rope (T): The tension in the rope is the force that the rope applies to support the weight of the body (W) suspended from it.
Since the rope is in equilibrium (not accelerating), the forces acting on it must balance each other. Therefore, the tension in the rope must be equal to the weight of the rope.
Equation 1: T = R
The tension in the rope is also equal to the force exerted by the ceiling on the rope. Therefore, the force exerted by the ceiling on the rope is equal to R.
Answer: (b) R
However, it is important to note that the force exerted by the ceiling on the rope is not equal to the weight of the body (W) suspended from it. The weight of the body is balanced by the tension in the rope, not by the force exerted by the ceiling.
Tension in the Rope
The tension in the rope is the force that the rope applies to support the weight of the body. It is equal to the weight of the body, as both forces must balance each other for equilibrium.
Equation 2: T = W
Combining equations 1 and 2, we can determine the relationship between the weight of the body (W) and the weight of the rope (R).
R = W
Force Exerted by the Ceiling
The force exerted by the ceiling on the rope can be determined by substituting the value of R from equation 1 into equation 2.
T = R = W
Therefore, the force exerted by the ceiling on the rope is equal to the weight of the body.
Answer: (a) W
Summary
In summary, the force exerted by the ceiling on the rope is equal to the weight of the body suspended from it. This force is not equal to the weight of the rope itself. The weight of the rope is balanced by the tension in the rope, which is equal to the weight of the body.
The force exerted by the ceiling on the rope can be determined by considering the forces acting on the rope. There are two forces acting on the rope in this scenario:
1. Weight of the rope (R): The rope itself has weight, which is equal to R.
2. Tension in the rope (T): The tension in the rope is the force that the rope applies to support the weight of the body (W) suspended from it.
Since the rope is in equilibrium (not accelerating), the forces acting on it must balance each other. Therefore, the tension in the rope must be equal to the weight of the rope.
Equation 1: T = R
The tension in the rope is also equal to the force exerted by the ceiling on the rope. Therefore, the force exerted by the ceiling on the rope is equal to R.
Answer: (b) R
However, it is important to note that the force exerted by the ceiling on the rope is not equal to the weight of the body (W) suspended from it. The weight of the body is balanced by the tension in the rope, not by the force exerted by the ceiling.
Tension in the Rope
The tension in the rope is the force that the rope applies to support the weight of the body. It is equal to the weight of the body, as both forces must balance each other for equilibrium.
Equation 2: T = W
Combining equations 1 and 2, we can determine the relationship between the weight of the body (W) and the weight of the rope (R).
R = W
Force Exerted by the Ceiling
The force exerted by the ceiling on the rope can be determined by substituting the value of R from equation 1 into equation 2.
T = R = W
Therefore, the force exerted by the ceiling on the rope is equal to the weight of the body.
Answer: (a) W
Summary
In summary, the force exerted by the ceiling on the rope is equal to the weight of the body suspended from it. This force is not equal to the weight of the rope itself. The weight of the rope is balanced by the tension in the rope, which is equal to the weight of the body.
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A body of weight W is suspended from the ceiling of a room through a rope of weight R. The ceiling pulls the rope by a force ofa)Wb)Rc)W + Rd)(W + R)/2Correct answer is option 'C'. Can you explain this answer?
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