Calculating Tension in a Rope with an Electric Motor

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To calculate the tension in a rope lifting a 40kg mass with an electric motor at a steady speed, begin by drawing a free body diagram to visualize the forces. The key formula to use is T = mg, where T is tension, m is mass, and g is the acceleration due to gravity (approximately 9.81 m/s²). Since the mass is moving at a steady speed, the net force is zero, indicating that tension equals the weight of the mass. Therefore, multiplying 40kg by gravity gives the tension in the rope. This calculation confirms that the process is straightforward and effective for this scenario.
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how do u work out the tension of a rope ? an electric motor is used to lift a mass of 40kg at a steady speed if friction forces are ignored calculate the tension of the rope. help i have just started physics double award and do not understand this
 
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paddygills said:
how do u work out the tension of a rope ? an electric motor is used to lift a mass of 40kg at a steady speed if friction forces are ignored calculate the tension of the rope. help i have just started physics double award and do not understand this

Welcome to the PF.

You start by drawing a free body diagram (FBD) of the object (the mass), showing all the forces acting on the mass. Then you use the equation F = m * a to continue with the calculations. The F is the sum of all the forces acting on the mass m, and the resulting acceleration is a.

Show us how you start this problem now...
 
Neglecting friction, T = mg

Since the question indicated a steady speed, we have to assume that u > 0, and that the overall change in momentum(net force) is zero.
 
so do i just multiply 40kg times gravity to get the right answer
 
Yes it is pretty straightforward.
 
thanks for the help thought it was that but it seemed too easy
 

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