sakebu said:Homework Statement
μs = .300
Mass = 3.00kg
Incline = 35°
What is the minimum normal force applied to prevent the crate from sliding down the incline?
Homework Equations
μs = Fk / n
The Attempt at a Solution
The book solution is 32.1N but I have no idea how they got that.
The "ramp problem with friction" is a physics problem that involves a block sliding down a ramp with a certain angle of incline and friction present. This problem is used to illustrate concepts such as Newton's laws of motion, work and energy, and forces.
The frictional force in the ramp problem can be calculated using the formula Ff = μN, where Ff is the frictional force, μ is the coefficient of friction, and N is the normal force acting on the block. The normal force can be calculated using N = mgcosθ, where m is the mass of the block, g is the acceleration due to gravity, and θ is the angle of incline of the ramp.
Friction plays a significant role in the ramp problem as it opposes the motion of the block down the ramp. It is responsible for the decrease in the speed of the block and ultimately brings it to a stop. Friction also affects the normal force and the overall acceleration of the block.
The angle of incline of the ramp affects the motion of the block by changing the magnitude of the normal force and the frictional force. As the angle increases, the normal force decreases, resulting in a decrease in the frictional force. This leads to a faster acceleration and a longer distance traveled by the block down the ramp.
The ramp problem with friction has many real-life applications, such as calculating the stopping distance of a car on a sloped road, determining the necessary angle of incline for a wheelchair ramp, and understanding the motion of objects on an inclined plane in industries such as construction and transportation.