2 masses on an inclined plane, one unknown mass needs to be found

In summary, the problem involves two masses, one known at 10kg and the other unknown, with a friction coefficient of 0.25. The task is to find the magnitude of M when the 10kg mass slides down and up the plane. The equations used to solve this problem include calculating the components of the gravitational force for both masses. However, there may be additional information missing from the problem, such as a connection between the two masses. It is also important to use the correct units when calculating the components of the gravitational force.
  • #1
oconnc59
1
0

Homework Statement


see attached diagram, one mass is given at 10 kg while the other is unknown. The friction is given an (mu)=0.25 for both masses


Homework Equations


i need to find Magnitude of M for when the 10KG Mass slides down the plane and again for when the 10KG mass slides up the plane



The Attempt at a Solution


on the 10kg mass
mgsin(thetha)=49.05
mgcos(thetha)=84.96

I don't know where to go from here, I am really stuck with this can anyone help please?

On the Unknown Mass
mgsin(thetha)=8.5m
mgcos(thetha)=4.905m
 

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  • #2
It would be appreciated if you didn't post diagrams as MS Word files. There's a whole list of image formats which are much better for this sort of thing.

From your diagram (at least, as well as I can make out - it came through rather distorted), I can't see what the unknown mass M has to do with anything. Is there some information in the problem you're not telling us? Are the two masses connected by a string, perhaps?

Also, when you calculate the components of the gravitational force, make sure you have the correct units. (You don't in the post above)
 

Related to 2 masses on an inclined plane, one unknown mass needs to be found

1. How do you calculate the unknown mass on an inclined plane?

To calculate the unknown mass on an inclined plane, you will need to use the formula: M = m1(sinθ1 - sinθ2) / (sinθ2 - sinθ3), where m1 is the known mass, θ1 is the angle of the inclined plane, and θ2 and θ3 are the angles of the known and unknown masses, respectively.

2. What tools are needed to find the unknown mass on an inclined plane?

To find the unknown mass on an inclined plane, you will need a balance, a ruler or protractor to measure the angles, and a calculator to perform the necessary calculations.

3. How does the angle of the inclined plane affect the calculation of the unknown mass?

The angle of the inclined plane is a crucial factor in the calculation of the unknown mass. The steeper the angle, the greater the difference between the forces acting on the two masses, making it easier to determine the unknown mass.

4. What is the role of gravity in calculating the unknown mass on an inclined plane?

Gravity plays a significant role in the calculation of the unknown mass on an inclined plane. It is the force that pulls the masses towards the center of the Earth and affects the angle at which the inclined plane needs to be set for accurate calculations.

5. How accurate are the calculations for finding the unknown mass on an inclined plane?

The accuracy of the calculations for finding the unknown mass on an inclined plane depends on the precision of the measurements taken and the accuracy of the formula used. It is essential to carefully measure the angles and use precise instruments for the best results.

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