# What is Incline: Definition and 988 Discussions

The Duquesne Incline () is a funicular located near Pittsburgh's South Side neighborhood and scaling Mt. Washington in Pennsylvania, United States. Designed by Samuel Diescher, the incline was completed in 1877 and is 800 feet (244 m) long, 400 feet (122 m) in height, and is inclined at a 30-degree angle. It has an unusual for United States (but standard for Finland, Mongolia and the former-USSR) track gauge of 5 ft (1,524 mm).

View More On Wikipedia.org
1. ### Lagrangian of a block on an inclined plane

For this problem, I am confused where they get these two terms from Can someone please explain? I get all the other terms expect those. Thanks alot!
2. ### Rolling Sphere On Incline

I did some algebra and got the final equation mgh=1/2MR^2omega^2+1/2(2/5MR^2)omega^2, then plugged in the numbers and got an omega value of 111.09. Using 1.7 as h instead of cos(17)*1.7=1.63 I got 114.09. Both answers were wrong. Am I missing something, or did I just screw up the math?
3. ### Having a hard time learning Newton's 2nd law

I'm taking college physics without calculus this semester and it's been quite the challenge to say the least. We recently covered free body diagrams and while I understand the different vectors in the FBD, making calculations is killing me. Specifically Newton's 2nd law. The problems range...
4. ### Work done on crate moving on incline

For part a and b, I can't see a clear path to finding the answers. In order to find the x component of the applied force I need to know the friction. In order to find the friction I need to find the y component of the applied force, but I can't think of a way to find either. I thought of...
5. ### Atwood at an incline accelerating down

Both myself and my TA gave up, but we found acceleration of the system 9g - 4gsin(30) = 13a a=5.27m/s^2
6. ### Difficulty in deciding when to apply work energy theorem

This is how I tried to do it. The force required to move B up the incline is $kx$ where x is elongation and k is spring constant. we know that spring force is greater than $mg(sin\theta+\mu cos\theta)$. And we can use work-energy theorem to figure out velocity. $0.5*k*x^2=0.5*mv^2$ where...
7. ### Block and pulley on movable incline

This was the question: I derived the equations as mentioned in the relevant equations. But I could not solve the equations to find the answer. I realise with respect to inclined plane the acceleration must be a since string cannot slack. With respect to ground, the acceleration of incline is...
8. ### Moment of inertia problem involving a cylinder rolling down an incline

a=2/3*g*sin(25*(pi/180))=>a=2.8507 m/s^2 vf=vi+at=>vf=0+2.8507*1.50=>vf=4.2760 m/s So the translational motion of the cylinder is 4.2760 m/s. 4.2760=R*w w=134.04 rad/s PE=mgh=>PE=215*9.8*.108=>PE=227.56 J PE = KE at the end of the roll because of energy conservation. 227.56 =...
9. ### Pulley, two masses and an incline

For this problem, Why is the tension on each side not equal? For this problem I think the only assumption is that the string is inextensible so the accelerations of the masses are equal. Many thanks!
10. ### Find acceleration of Moving incline with a block on it

My attempt: As I need to find acceleration I believe that I need to use F=ma(and thus draw a free body diagram). I drew the block's weight components(mgsinθ, mgcosθ) and concluded that the only force acting on the plane in the horizontal direction is the horizontal component of...

18. ### Work done in moving a body up an incline

##W=mgh=100(\sin 37)2=-120J## Right answer! But the question is asking work done by the person. So again I wrote two eqns ##F_N\sin 53+F_D\sin 37-100=10.2a_y## ##F_N\cos 53-F_D\cos 37=-10.2a_x## I just need ##a_x## and ##a_y## to solve.
19. ### Work Done by Friction & Gravity on Incline: Explained

So for the work done by the kinetic friction, the displacement along the incline is ##s## as given. What I canNOT understand is why the displacement in the y-direction is used for the work done by gravity i.e. ##W = -mgh## where ##h## is the displacement in het y-direction. This instead of the...
20. ### Motion in two dimensions: Launching up an incline

But it seems to get too complex and am not sure whether it is correct.. my solution got a bit messy + incorrect Thanks in advance!
21. ### Max Angle of Mass on Incline Surface

Hello, I've worked through the free-body diagram to compute the answer: tan(𝜃) = 0.67 𝜃 = arctan(0.67) = 33.822... The answer is supposed to be approximately 42. Yet, tan(42) is not 0.67, is the suggested answer wrong?

23. ### How to find deceleration up incline

Basically the problem is giving me an initial velocity to start with it goes up the incline before it comes back down. I know how to do everything else in the problem but solve for the initial acceleration up the incline. What would I need to calculate to solve this?
24. ### Forces acting on a car on an incline

For part 1, I got ## tan \alpha = 1/30 ## ##\alpha = 1.9^{\circ}## ##mgcos(1.9) = 10774N## I'm a little thrown off by the second part. Are we supposed to assume that in the absence of friction, F = N and then substitute F = ma to solve for this?
25. ### Using the sin function for a problem with a frictionless pulley and an incline

To find the tension in the rope connecting 6.0 kg block and 4.0 kg block we do 6.0 kg = m1, 4.0 kg = m2, 9.0 kg = M (m_2 + m_1)a - Ma = Mg - m_2 gsin\theta - m_1 gsin\theta Why do we use sin in these equations and not cos?
26. ### Push/Pull Force of wheeled cart on an incline

Summary:: Looking for the formula to calculate force required to push a wheeled cart weighing 227 kg up a 15 degree incline. I’m trying to find the formula for force required to push a 227kg cart with four wheels up an incline that is 15 degrees. From my physics classes I thought the formula...
27. ### Hello - basic incline mass and energy question, thanks :)

Hello. Be v grateful any assistance with this. Question is energy to haul 2000kg 4 metres up a 1 in 100 incline with 300 Newtons friction Answer is given as exactly 1.98 kJ. The only figures I can see that relate to anything here are 2000kg minus 10 = 1980, and 1:100 is 0.01 which times...
28. ### Engineering Dynamics help: Block on a wedge on an incline (frictionless surfaces)

So I’m having trouble with relative motion with moving inclines and I literally can’t find any help online and my prof does a lot of these problems. This is one of my homework problems, can anyone help me with it please.
29. ### Gravitational Potential Energy on an Incline

Hi, When regarding Gravitational Potential Energy, I know the formula is U=mgh. However, when the object is on an incline (say at an angle of 52 degrees) would it still be mgh or something else? (This isn't homework I simply was just curious).
30. ### Particle in equilibrium (balancing forces on an object on an incline)

Hi, I’m wondering if someone can help me understand this question. I can find a resultant force/vector when given an initial angle but I’m stuck here when the only information is the two magnitudes. I think I’m solving for the unknowns but a little lost on how or what equation I should be using...
31. ### Conservation of Energy Along an Incline with Friction

There are two nonconservative forces in this situation, the work done by the person and the work done by friction - they are the only sources of work that change the total mechanical energy of the mass-Earth system. The initial energy (assuming gravitational potential energy is initially 0) is...
32. ### Conservation of energy problem: Two masses, a pulley and an incline

If M moves ##x## along the plane, her height variation in ##x \cos(\alpha)##, and, but I don't know how to find the variation of the height of ##m##
33. ### Work Done Doing Push-ups on an Incline

Push-ups take a certain amount of work. If starting from a 45 degree angle instead of from a zero degree angle (the ground), my calculation shows it requires 1/√2 the amount of work. If the relative movement of the body, remaining stiff, is the same, the center of mass moves a certain height...
34. ### Find the angle required for a 3kg block to slide down an incline

This is a rough sketch of the model. It is frictionless. I originally tried simple right-angle trig (sin θ =opp/hyp), but that just ends up as sin θ = sin θ , as well as cos θ = cos θ. I feel like there's also a way to manipulate dynamic equations around to equate something that is capable...
35. ### Truck with attached inclined plane and a block on the incline

I tried solving this by assuming the acceleration of the truck and block to be the same so the block would stay on the incline. Also, I would assume truck ma = static friction, block ma = mgsintheta... then I solved for a to plug into 1st equation to get 12990 N. Is this correct? I wasn't sure...
36. ### Cylinder Rolling Down an Incline Without Slipping

First we let the static friction coefficient of a solid cylinder (rigid) be ##\mu_s## (large) and the cylinder roll down the incline (rigid) without slipping as shown below, where f is the friction force: In this case, ##mg\sin(\theta)## is less than ##F_{max}##, where ##F_{CM,max}## is the...
37. ### Can the Normal Force Produce a Torque on an Object on an Incline?

Hi everyone I can't understand how normal force produce torque isn't normal force acts normally on the plane so the perpendicular distance in case if it was like block will be zero, so normal force doesn't produce torque. "case of box"
38. ### Oscillations of a Block Mass attached to a Spring on an Incline

Why doesn't the incline angle play a role in changing the ##m## component of this equation? ##T = 2π\sqrt{\frac{m}{k}}## FOR QUESTION 25, PART B: ANSWER:
39. ### Moving a box on an inclined plane. Find F(min), angle and W(min)

Hi, this is my try: I would appreciate any confirmation or correction . -- Thanks
40. ### Work done pushing a refrigerator up an Incline

My teacher told me that answers are F=1200 N for lifting straight up and F= 360 N for using the ramp. I can get the force for lifting straight up by using 1800=F(1.5)cos(0) but I do not understand why for using the ramp the equation 1800 = F(1.5)cos(72.5) does not produce the correct answer.
41. ### How to find the max. compression of a spring given a block on an incline?

Hello! I am stuck on part of a problem and was wondering what I am doing wrong. For part a of the problem, we were asked to find the impact speed. I did this in a photo below given the following values: Θ = 30 degrees. The initial velocity = 10 m/s. The coefficient of kinetic friction = 0.4...
42. ### What is the maximum tension and friction force for a block held on an incline?

(a) Ridiculously simple though it looks, I can't see how the string will be tight. One of the two has to be true. (1) The static friction ##f_S = mg \sin\theta = 25\times 10\times \sin 30^{\circ} = 122.5\; \text{N} ##. The maximum static friction ##f_S = \mu mg \cos \theta = 0.6\times 25\times...
43. ### Box and a Spring on on an inclined plane

Homework Statement: A box of mass M=30 kg sits on a ramp which is tilted at angle 13 degrees. The coefficients of static and kinetic friction between the box and the ramp are both 0.12. The box is connected to a spring of spring constant k=9 Newtons per meter. Initially, the box is held in...
44. ### Force to propel a sliding gate up a 2,4 degree incline?

Figure A It slopes up from Left to Right (0.205911m Rise /4,8m run=4.28%)]
45. ### Maximum Angle of Incline for four wheel drive

I think it will be between 11 and 12 degrees but don't know how to re-arrange the equation or if I was even using the correct method
46. ### Automotive How much power is needed to haul a weight up an incline at a certain speed

Good afternoon everyone, I need help with a certain calculation. How much power is needed to pull a 250lb load up a 45 degree incline at 5 mph. I am working on a project at school and would like to know what kind of motor we can use. Thank you very much!
47. ### Calculating Support Reactions for a Beam with Inclined Resting Position

Hello I have a problem with calculating the support reactions for a beam. Lefts side of beam has a pin connection so it takes both Fx,Fy. Right side of the beam has a horizontal roller and it takes only Fy in the direction of the wall. Therefore at the pin support Fy=9kN, but how do i figure out...
48. ### Conservation of energy for a block on an incline plane

Let v be the speed of the block and x elongation of the spring beyond the equilibrium point. Initially, v = 0 and x = 0. At the maximum elongation, the block also has v = 0, it has moved a distance equal to x (parallel to the plane) and the variation of height is equal to -x⋅sin(53°). W(FNC) =...
49. ### Pulley on Incline: Finding Forces & Tension

a) I figured this part out. Because A is at rest that means the acceleration is 0 b&c) I am completely lost how to go about this. I drew a free body diagram for A and I was able to determine 4 forces acting on it. 1: The Gravitational force on A (GA). Using the angle (θ), and the incline as my...
50. ### How can I find the initial velocity of a projectile on an incline?

I have tried for a couple hours now and I just cannot seem to figure out what to do. I am able to to find the the x and y components for acceleration (Xa = 0, Ya = -9.8) and distance (Δx = 54.32, Δy = 8.60) but without any of the other components I am having trouble finding Vo. Any help with...