An engine block is supported by a rope hoist to an overhead beam. When the block is pulled to one side by a horizontal force exerted by another rope, the tension in the rope hoist is
Greater than before
Less than before
Is greater than before
To determine the tension in the rope hoist, you need to consider the forces acting on the engine block. When the block is pulled to one side by a horizontal force, the tension in the rope hoist will depend on the magnitude and direction of this force, as well as other factors such as the weight of the engine block and the angle at which the rope is attached.
To calculate the tension in the rope, you can use Newton's second law of motion. This law states that the net force acting on an object is equal to the mass of the object multiplied by its acceleration. In this case, the acceleration of the engine block will be due to the horizontal force applied to it.
Here's the step-by-step procedure to calculate the tension in the rope hoist:
1. Determine the weight of the engine block: This can be done by multiplying the mass of the engine block by the acceleration due to gravity (9.8 m/s²). The weight is given by the formula: weight = mass × gravity.
2. Find the horizontal force applied to the engine block: You mentioned that the block is pulled to one side by a horizontal force exerted by another rope. Determine the magnitude and direction of this force.
3. Calculate the net force acting on the engine block: Since the block is being pulled horizontally, the net force will be equal to the horizontal force applied minus any friction force or other resistive forces.
4. Apply Newton's second law: By setting the net force equal to the mass of the engine block multiplied by its acceleration, you can calculate the acceleration of the block.
5. Calculate the tension in the rope hoist: The tension in the rope hoist will be equal to the weight of the engine block plus any additional force required to accelerate the block horizontally. This can be calculated using the formula: tension = weight + mass × acceleration.
By following these steps, you will be able to determine the tension in the rope hoist when the engine block is pulled to one side by a horizontal force.