Finding the Weight and Center of Gravity of a Heavy Electric Motor

In summary, two people are carrying a heavy electric motor on a 2.50 m light board. One person is lifting with a force of 400 N on one end, while the other is lifting with a force of 560 N on the opposite end. The weight of the motor can be calculated using the principle of moments, where each force multiplied by its distance to the center of mass is equal. The center of gravity of the motor can also be determined by finding the distance from the end where the 400 N force is applied.
  • #1
MAPgirl23
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Two people carry a heavy electric motor by placing it on a light board of length 2.50 m. One person lifts at one end with a force of 400 N, and the other lifts the opposite end with a force of 560 N.

a) What is the weight of the motor?
b) Where along the board is its center of gravity located? Express your answer as a distance measured from the end where the 400 force is applied.

** I know that each force times its distance to the center of mass gives the same product (the moments are equal) but don't know how to do this problem.
 
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  • #2
thanks anyways, got it
 
  • #3


a) To find the weight of the motor, we can use the formula W = Fnet, where W is the weight, Fnet is the net force acting on the motor, and g is the acceleration due to gravity (9.8 m/s^2). In this case, the net force is the sum of the two forces acting on the motor, which is 400 N + 560 N = 960 N. So, the weight of the motor is 960 N.

b) To find the center of gravity of the motor, we can use the formula x = (F1d1 + F2d2)/Fnet, where x is the distance from the end where the 400 N force is applied, F1 and F2 are the forces acting on the motor, and d1 and d2 are the distances from the end where the 400 N force is applied to the center of gravity. In this case, F1 = 400 N, F2 = 560 N, d1 = 0 m (since the 400 N force is applied at this end), and d2 = 2.50 m (since the light board has a length of 2.50 m). Plugging in these values, we get x = (400 N * 0 m + 560 N * 2.50 m)/960 N = 1.46 m. So, the center of gravity of the motor is located 1.46 m away from the end where the 400 N force is applied.
 

1. How do you find the weight of a heavy electric motor?

To find the weight of a heavy electric motor, you will need a scale with a high weight capacity. Place the motor on the scale and record the weight in pounds or kilograms.

2. What is the center of gravity of a heavy electric motor?

The center of gravity of a heavy electric motor is the point at which the weight of the motor is evenly distributed in all directions. It is typically located at the geometric center of the motor.

3. Why is it important to know the weight and center of gravity of a heavy electric motor?

Knowing the weight and center of gravity of a heavy electric motor is important for various reasons. It helps with transportation and handling of the motor, as well as ensuring proper installation and stability.

4. What are the steps to determine the center of gravity of a heavy electric motor?

The steps to determine the center of gravity of a heavy electric motor include measuring the dimensions of the motor, calculating the weight of each component, and using a balancing method or computer software to find the exact center of gravity.

5. Can the weight and center of gravity of a heavy electric motor change?

Yes, the weight and center of gravity of a heavy electric motor can change if any modifications or repairs are made to the motor. It is important to recalculate and adjust for these changes to ensure proper handling and installation.

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