Equilibrant & box and plank problems

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In summary, these problems involve calculating forces and components using given values and equations. In problem 3, two forces are exerted on a ring and the equilibrant is calculated to keep it from moving. In problem 4, the weight components of a box on an inclined plank are found. In problem 5, the frictional force on a sliding box is calculated using the coefficient of kinetic friction. In problem 6, the acceleration of a box sliding down an inclined plank is determined. In problem 7, a free-body diagram is drawn to visualize the forces acting on the box in problem 4.
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ariol
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Problem 3:
Two forces are exerted on a ring. The first force is a force of 20 N, 30 degrees North of East, and the second force is 15 N, 10 degrees West of North. What is the magnitude and direction of the equilibrant that keeps the ring from moving? Show all work.

Problem 4:
A 75-kg plastic box full of baseballs is resting on a long plank. If Ben raises one end of the plank up off the floor so it makes a 40 degree incline, what are the parallel and perpendicular weight components of the box with respect to the plank? Show all work.

Problem 5:

The same box in the previous problem starts to slide down the incline, if the coefficient of the kinetic friction is 0.32 what is the frictional force exerted on the box by the plank as it slides down the incline? Show all work.

Problem 6:
As Janelle distracts Ben, he ignores the box in problem 4 continue to slide down the plank at the same angle, what is the boxes acceleration as it heads towards the floor? Show all work.

Problem 7: Draw a free-body diagram of the forces acting on the box of baseballs as it slides down the plank in the previous problem (Draw vectors of appropriate length and label all the different forces.)
 
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Where do you get stuck?
 
  • #3
These problems are way too difficult for us to do all by ourselves, ariol.
Please, SHOW US YOUR WORK!
 

What is the concept of equilibrant in physics?

The equilibrant in physics is a force that is equal in magnitude but opposite in direction to the resultant force acting on an object. It is the force that is required to balance out the resultant force and keep the object in a state of equilibrium.

How is the equilibrant calculated in box and plank problems?

In box and plank problems, the equilibrant can be calculated by using the principle of moments. This involves taking the sum of all the clockwise moments and setting it equal to the sum of all the counterclockwise moments. The equilibrant force is then determined by the magnitude and direction needed to balance out the moments.

What is the purpose of solving box and plank problems?

The purpose of solving box and plank problems is to understand the concept of equilibrium and how forces act on objects. It also helps in developing problem-solving skills and critical thinking in the field of physics.

How do box and plank problems relate to real-world situations?

Box and plank problems can be related to real-world situations such as a seesaw, where the weight of each person needs to be balanced to keep the seesaw in equilibrium. They can also be applied to engineering and construction, where forces need to be carefully balanced to ensure the stability and safety of structures.

What are some common mistakes made when solving box and plank problems?

Some common mistakes made when solving box and plank problems include not considering the direction of the forces, forgetting to include all forces acting on the object, and not properly identifying the pivot point. It is important to carefully analyze the problem and consider all forces and their directions before attempting to solve it.

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