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A force/friction physics problem

  
 
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martindcx1e
Old 02-21-2008, 01:58 PM     Post subject: A force/friction physics problem #1 (permalink)  
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Can anyone help with this?

A 420 g block is at rest on a horizontal surface. The coefficient of static friction between the block and the surface is 0.800, and the coefficient of kinetic friction is 0.230. A force of magnitude P pushes the block forward and downward. Assume the force is applied at an angle of 23.0° below the horizontal.

(a) Assuming P is large enough to make the block move, find the acceleration of the block as a function of P. (Use P as necessary and round numbers to the third decimal place.)
a(P) = ?

(b) If P = 4.12 N, find the acceleration and the friction force exerted on the block.

(c) If P = 8.24 N, find the acceleration and the friction force exerted on the block.

For A I have to set the net force equal to m*a right? If so then I got n = mg + Psin(-23) for the vertical forces and for the horizontal forces I'm not sure if I'm supposed to use both the force of static friction and the force of kinetic friction in my equation or just one or the other.
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a500lbgorilla
Old 02-21-2008, 03:45 PM     Post subject: Re: A force/friction physics problem #2 (permalink)  
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Quote:
Originally Posted by martindcx1e
Can anyone help with this?

A 420 g block is at rest on a horizontal surface. The coefficient of static friction between the block and the surface is 0.800, and the coefficient of kinetic friction is 0.230. A force of magnitude P pushes the block forward and downward. Assume the force is applied at an angle of 23.0° below the horizontal.

(a) Assuming P is large enough to make the block move, find the acceleration of the block as a function of P. (Use P as necessary and round numbers to the third decimal place.)
a(P) = ?

In order to make the block move from rest, the force has to exceed the static friction force. Static friction comes in at Fs = (.42*9.81 + Psin(23))*.8.

When this force is exceeded, the firction force drops to Fk = (.42*9.81 + Psin(23))*.23 When this occurs, the sum of the forces in the X shape up to be .42* a = P*cos(23) - Fk. Solve for a


(b) If P = 4.12 N, find the acceleration and the friction force exerted on the block.

First check to see if the P is large enough to overcome Fs. Fs = 4.584. Px = 3.792 N. So the acceleration = 0, and equal and opposite forces says the force of friction = 3.792 N.

(c) If P = 8.24 N, find the acceleration and the friction force exerted on the block.

Fs = 5.871 N, Px = 7.585 N. Force of friction = Fk = 1.688 N. a = 14.04 m/s/s. Might wanna check my math

For A I have to set the net force equal to m*a right? If so then I got n = mg + Psin(-23) for the vertical forces and for the horizontal forces I'm not sure if I'm supposed to use both the force of static friction and the force of kinetic friction in my equation or just one or the other.
The force of static friction only comes into play when the block is not moving and is usually much higher than the force of kinetic friction. Until the force applies exceeds the static frictional force in X, the block will not move. Once it starts moving, it will only resist by the force of kinetic friction.

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kingnat
Old 02-21-2008, 05:31 PM #3 (permalink)  
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The notion that the frictional force in part b) is actually equal to the horizontal component of the pushing force is something that people get wrong often... rilla did it exactly right...

Checking that the pushing force (x-comp only) is less than the maximum static friction force tells us that it doesn't move, but that means the ACTUAL static frictional force is simply equal to the x-component of the pushing. People often will incorrectly answer that the static frictional force IS the maximum static frictional force. just thought i'd mention that in case you don't recognize the distinction in 'Rilla's solution.
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martindcx1e
Old 02-21-2008, 05:45 PM #4 (permalink)  
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geez i'm an idiot. i totally missed that in part A it said to assume that P makes the block move. thanks for the help though rilla.
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a500lbgorilla
Old 02-21-2008, 09:21 PM #5 (permalink)  
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Old 02-22-2008, 01:10 AM #6 (permalink)  
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Old 02-22-2008, 05:15 AM #7 (permalink)  
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martindcx1e
Old 02-22-2008, 01:20 PM #8 (permalink)  
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LOL that rocks
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Old 02-22-2008, 02:32 PM #9 (permalink)  
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Old 02-22-2008, 02:43 PM #10 (permalink)  
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Old 02-25-2008, 09:41 AM #11 (permalink)  
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Old 02-25-2008, 03:07 PM #12 (permalink)  
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