What Are the Key Principles of Static and Dynamic Equilibrium in Physics?

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Static equilibrium refers to a state where an object is at rest and all forces acting on it are balanced, while dynamic equilibrium occurs when an object moves at a constant velocity with balanced forces. Conditions for translational equilibrium include the net force acting on an object being zero in all directions. For a car traveling westward at a constant speed, horizontal forces include friction and air resistance, which must balance the driving force. The discussion also involves solving specific problems related to forces acting on a stationary car on a ramp and a child swinging on a rope, emphasizing the need for vector diagrams to illustrate these forces. Assistance is requested for these problems, highlighting the challenge of understanding the concepts involved.
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I.ESSAY QUESTIONS
1.What us the difference between static equilibrium and dynamic equilibrium? Explain your answer fully.

2.State and explain and the conditions for translational equilibrium.

3.What horizontal forces act on a car traveling westward on a level road at a constant speed of 20m/s?Explain your answe fully.

II.WORD PROBLEM(VECTOR DIAGRAMS ARE NEEDED)

1.A 1500-kg car is stationary(not moving) on a ramp that makes an angle of 35(degree) with the horizontal.

a)Draw a vector diagram showing all the forces acting on the car> label and identify(name) all these forces.(note. ineed the vector very importantly.)

b)What is the magnitude of the force parallel to the ramp that keeps the car stationary?(Show complete solution)

2.A child weighing 200 N swings on a rope. If the child is to be held such that the rope is at an angle of 37(degree) with the vertical, what horizontal force must act on the child?

a)Draw a vector diagram showing all the forces acting on the child. Label and identufy(name) all these forces.

b)What is the manitude of the horizontal force acting on the child?(Show complete solution.)


Name of Forces:example:
normal force
frictional
etc.

I have answered the number 3-6 but its taking me a hard time to solve for the 1 and 2...
kindly please help me...
alcazar_edu@yahoo.com
or please post the answer here... I need your help...
please..
Thanks...:frown:
 
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The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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