Static Friction on an Inclined Plane: Force = mgsin30

In summary, static friction is a force that prevents two surfaces from moving relative to each other when there is no external force acting on them. It is calculated using the formula force = mgsinθ on an inclined plane, where m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of incline. The angle of incline is important because it affects the magnitude of the force of gravity acting on the object, resulting in a greater force of static friction as the angle increases. The mass of the object is directly proportional to the force of static friction, making it more difficult to move the object up the incline as the mass increases. The force of static friction can never be greater than
  • #1
StephenDoty
265
0
A block of mass m is at rest on an inclined plane that makes an angle of 30º with the
horizontal, as shown in the figure. Which of the following statements about the force of
static friction is true?
A) fs > mg D)fs = mg sin 30º
B) fs > mg cos 30º E) None of these statements is true.
C) fs = mg cos 30º

because the only two forces acting on the block is fs and weight, F=0 since at rest, thus 0=fs - mgsin30 so
fs= mgsin30


So the answer is D right??
 
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  • #2
Yes. Very good.
 
  • #3


Yes, the correct answer is D) fs = mg sin 30º. This equation represents the relationship between the force of static friction (fs) and the weight of the block (mg) on an inclined plane at an angle of 30º. This is because the force of static friction is equal and opposite to the component of the weight of the block that is parallel to the inclined plane, which is represented by mgsin30º.
 

Related to Static Friction on an Inclined Plane: Force = mgsin30

1. What is static friction?

Static friction is a force that prevents two surfaces from moving relative to each other when there is no external force acting on them. It is the force that must be overcome in order for an object to start moving.

2. How is static friction calculated on an inclined plane?

The formula for calculating static friction on an inclined plane is force = mgsinθ, where m is the mass of the object, g is the acceleration due to gravity, and θ is the angle of incline.

3. Why is the angle of incline important in calculating static friction?

The angle of incline affects the magnitude of the force of gravity acting on the object. As the angle increases, the component of the force of gravity acting parallel to the surface also increases, resulting in a greater force of static friction.

4. How does the mass of the object affect static friction on an inclined plane?

The mass of the object is directly proportional to the force of static friction. This means that as the mass increases, the force of static friction also increases, making it more difficult to move the object up the incline.

5. Can the force of static friction on an inclined plane ever be greater than the force of gravity?

No, the force of static friction can never be greater than the force of gravity. This is because static friction is a reactionary force that always acts in the opposite direction of the force applied to the object. As the force of gravity increases, so does the force of static friction, but it can never exceed the force of gravity.

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