Dynamic Motion: Frictional Forces and slope

Click For Summary
To find the net acceleration of an unidentified mass on an incline with a friction coefficient of 0.1 and a slope of 38 degrees, it is essential to resolve the mass into components parallel and perpendicular to the slope. The applied force acting down the plane is derived from the gravitational force component. The frictional force is calculated by multiplying the friction coefficient (mu) by the normal force, which is influenced by the angle of the slope. Using these components, the net acceleration can be determined by applying the formula: Net Acceleration = (Force Applied - Force of Friction) / mass. Understanding these relationships is crucial for solving the problem effectively.
perplexed_in_texas
Messages
2
Reaction score
0
In a problem concerning Mechanics/Dynamic Motion, I am asked to find the acceleration net of an unidentified mass. I am given mu (.1) and the slope of the incline (38 degrees). After searching through my notes and as well as online, I cannot seem to find a way to determine the magnitude of the acceleration using only these two pieces of data!

Net Acceleration = Force Applied - Force of Friction / mass

mu = .1
slope incline = 38 degrees

I am aware of how to use trigonometry with Normal Force, gravity, etc., but with only two measurements, I'm drawing up a total blank on how to properly this problem! I sure appreciate yall helping me out on this. :blushing:
 
Physics news on Phys.org
Resolve the mass into components parallel to and perpindicular to the slope

The applied force will be the component of the mass acting down the plane.

The friction force is mu times the normal reaction to the mass by the plane.
 

Thread 'Magnitude of buoyant force in fluids of different densities'

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?
View full post »

Similar threads

How friction acts on a block moving down a slope moving side to side
  • · Replies 2 ·
Replies
2
Views
1K
Why is the direction of kinetic/static friction up a ramp?
  • · Replies 7 ·
Replies
7
Views
1K
Static equilibrium | Uniform sphere on incline | Determining friction
  • · Replies 43 ·
2
Replies
43
Views
2K
Dynamics of Circular Motion
  • · Replies 12 ·
Replies
12
Views
956
Experimental Design: Pulley and Mass Hangers
  • · Replies 30 ·
2
Replies
30
Views
4K
Finding the work done by a block
  • · Replies 4 ·
Replies
4
Views
3K
Rope between inclines with maximum length of hanging middle portion
  • · Replies 46 ·
2
Replies
46
Views
4K
Intuition on the direction of friction in a rotational dynamics problem
  • · Replies 13 ·
Replies
13
Views
2K
Why Does the Friction Force Not Match in the Two Block Problem?
  • · Replies 15 ·
Replies
15
Views
3K
How can we model a rolling truck on an incline using rotational motion analysis?
  • · Replies 24 ·
Replies
24
Views
3K