What is the Magnitude of Force P to Keep a Block Stationary Against a Wall?

In summary, the question asks for the possible values of the applied force P that will keep a block of mass 3.00kg stationary against a wall at a 50.0 degree angle with the horizontal. The coefficient of static friction between the block and the wall is 0.250. Using the fact that the sum of the horizontal forces must be 0 N, we can determine the normal force N in terms of the applied force P. We can then use this information to find the possible values for P in the vertical direction. Additionally, there is a friction force acting downward on the block of magnitude f = μN.
  • #1
Wild ownz al
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A block of mass 3.00kg is pushed up against a wall by a force of P that makes a 50.0 degree angle with the horizontal (REFER TO PICTURE). The coefficient of static friction between the block and the wall is 0.250. Determine the possible values for the magnitude of P that allow the block to remain stationary.
 

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  • #2
You have an applied force which has a component in the horizontal direction. You also have a normal force directed in the opposite direction. (Let's say that N is in the negative x direction and the component of the applied force is in the +x.) The sum of these two forces must be 0 N as there is no motion in this direction. This gives you N in terms of the applied force. Thus \(\displaystyle \sum F _x = -N + F~cos(50) = 0\).

What can you say about the vertical (y) direction? Do the same thing. A lot of stuff will cancel out.

By the way, you missed a force on your diagram. There is a friction force acting downward of magnitude \(\displaystyle f = \mu N\).)

See what you can do with this.

-Dan
 

FAQ: What is the Magnitude of Force P to Keep a Block Stationary Against a Wall?

What is physics motion?

Physics motion is the study of movement and the forces that cause that movement. It involves studying the motion of objects, including their speed, direction, and acceleration.

What are the three laws of motion?

The three laws of motion were developed by Sir Isaac Newton and are as follows:
1. An object will remain at rest or in motion at a constant velocity unless acted upon by an external force.
2. The force acting on an object is equal to its mass multiplied by its acceleration.
3. For every action, there is an equal and opposite reaction.

What is the difference between speed and velocity?

Speed is a measure of how fast an object is moving, while velocity is a measure of both speed and direction. In other words, velocity includes the direction of an object's motion, while speed does not.

What is acceleration?

Acceleration is the rate at which an object's velocity changes over time. It can be positive (when an object is speeding up) or negative (when an object is slowing down).

What is the difference between distance and displacement?

Distance is the total length traveled by an object, while displacement is the straight-line distance between an object's starting point and ending point. Displacement takes into account the direction of an object's motion, while distance does not.

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