A woman holds a 1.90-m-long uniform 5.0-kg pole as shown in (Figure 1) ( its horizontal).
A. Determine the force she must exert on the pole at A.
Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.
B. Determine the force she must exert on the pole at B.
Express your answer to two significant figures and include the appropriate units. Enter positive value if the force is upward and negative value if the force is downward.
C.To what position (B′) should she move her left hand so that neither hand has to exert a force greater than 80 N ?
Express your answer to two significant figures and include the appropriate units.
D. To what position (B′′) should she move her left hand so that neither hand has to exert a force greater than 40 N ?
Express your answer to two significant figures and include the appropriate units.
Please help my professor barely taught static equilibrium......
where these points are or why she is exerting 80 N on a pole that weighs about 50 N Is she holding it near and end - up with one hand and down with the other to balance weight and moments?
google search the first part of the equations i have it up with the picture
https://answers.yahoo.com/question/index?qid=20101107162946AA1FeBV
If that is the question, there is the solution.
To solve this problem, we can consider the pole in equilibrium. This means that the sum of all the forces acting on the pole must be equal to zero, and the sum of all the torques acting on the pole must also be equal to zero.
Let's start by analyzing the forces acting on the pole. We have two forces: the weight of the pole acting downward and the force exerted by the woman at points A and B.
A. To determine the force the woman must exert on the pole at point A, we need to balance the torque due to the weight of the pole. Since the pole is uniform, the center of mass is at its midpoint, which is located at 0.95 m from point A.
The torque due to the weight of the pole can be calculated using the formula:
Torque = Force x Distance
In this case, the torque due to the weight of the pole is (5.0 kg) x (9.8 m/s^2) x (0.95 m). Since this torque is clockwise, the force at point A must exert a counterclockwise torque to balance it.
Therefore, the force she must exert at point A is equal in magnitude but opposite in direction to the force exerted by the weight of the pole. The magnitude of this force can be calculated as:
Force_A = (5.0 kg) x (9.8 m/s^2)
B. Similarly, to determine the force the woman must exert on the pole at point B, we need to balance the torque due to the weight of the pole. Since the pole is horizontal, the distance between point B and the midpoint is also 0.95 m.
The torque due to the weight of the pole is again (5.0 kg) x (9.8 m/s^2) x (0.95 m). Since the force at point B is downward, it must exert an upward force to balance this torque. So the magnitude of this force can be calculated as:
Force_B = (5.0 kg) x (9.8 m/s^2)
C. To determine the position B' where the woman should move her left hand so that neither hand exerts a force greater than 80 N, we need to consider the torques at both points A and B.
Starting with point A, the torque at A is given by:
Torque_A = (Force_A at A) x (Distance from A to midpoint)
To ensure that the force at A is less than or equal to 80 N, we can set up the equation:
Torque_A ≤ (80 N) x (Distance from A to midpoint)
Solving for the distance from A to midpoint, we get:
Distance from A to midpoint ≤ (Torque_A) / (80 N)
Similarly, we can set up a similar equation for point B:
Torque_B ≤ (80 N) x (Distance from B to midpoint)
Solving for the distance from B to midpoint, we get:
Distance from B to midpoint ≤ (Torque_B) / (80 N)
D. To determine the position B'' where the woman should move her left hand so that neither hand exerts a force greater than 40 N, we can setup similar equations as in part C but with a maximum allowable force of 40 N instead of 80 N.
I hope this explanation helps you understand the approach to solve this problem. Remember to check your calculations and make sure you use the correct units throughout. Good luck!