Homework Statement
A block weighing 9.81N oscillates on a plane inclined of 60 degrees attached to a spring whose constant
point is k=100N/m and the length is to equilibrium l0 = 0.6 m. While the block goes to the
top losing speed , a timer is started ( to t0 = 0) when the block passes through...
My Physics teacher told us to use a = g x sinθ during a lab trying to find how close we could calculate gravity using an inclined plane, a moving cart and a motion sensor to measure acceleration. He also drew a diagram next to the formula. I just wanted to confirm that his diagram was wrong, or...
Homework Statement
How do you find tension and friction on an inclined plane given acceleration, two masses and an angle? It's a pulley system, I suppose.
Here's a diagram I drew:
http://postimg.org/image/m9v9i2qy5/
Homework Equations
Fg = ma
The Attempt at a Solution
I was thinking that I...
Homework Statement
https://courses.edx.org/asset-v1:MITx+8.MechCx_2+2T2015+type@asset+block/rolling_quiz_3.svg
A block of mass mb and a disk of mass md and radius r are placed on a symmetric triangular slope connected with a massless string over a massless pulley as shown above. The string is...
I know that since gravity is a conservative force, the work done by it to displace an object some distance does not depend on the path taken. This leads to the conclusion that the work done by gravity in sliding an object down an inclined plane of height h would be ##mgh##. However, what is the...
An object starts at a height of 5m. The initial incline is 63.4 deg. After moving 2m in the x direction, the incline decreases to 7.125 deg and the motion continues for an additional 8m in the x direction. What is the total time for the object to complete the path?Homework Equations
The initial...
Homework Statement
Water is sprayed at an angle of 90° from the slope at 20m/s. Determine the range R.
PLEASE SEE ATTACHMENTHomework Equations
[/B]
Kinematic Equations:
acceleration: A = 0i +g(-j) + 0k;
velocity: dV/dt = A;
position: dR/dt = V;
Origin set at the point spout...
Homework Statement
I am trying to prove what is asked in the following problem:
A particle of mass m slides down an inclined plane under
the influence of gravity. If the motion is resisted by a
##f=kmv^2##, show that the time required to move a distance
d after starting...
Homework Statement
A car is moving on a horizontal road with speed of 60 km/h. When it starts to move on an inclined plane its velocity decreases by 10 km/h. How much its velocity will increase when the car starts to move down the plane? Assume that the power of the engine remain the same, any...
Homework Statement
A body is moving on an inclined plane which has a slope of 30o. When the body is h=1,5m above the surface it has a velocity of vo=3 m/s. At the bottom of the plane it bounces elastically and starts moving upwards. Find the height it reaches, when the coefficient of frictions...
I've been trying to work out what I'm doing wrong on this question but I just don't get it.
'A cyclist starting from rest freewheels for 120m down a slope of 1 in 30. At the bottom of the slope the road becomes horizontal, and the cyclist stops without using his breaks after going a further...
I am trying to solve a problem using Newtonian Mechanics. I was able to solve it using Lagrangian Mechanics, and got the correct answer from the textbook, but when I use Newtonian I get the wrong answer. I want to be able to do it both ways in order to understand/appreciate the difference...
Homework Statement
What weight WB will cause the system to be in equilibrium? Neglect all friction, and state any other assumptions.
Homework Equations
ΣF=0
The Attempt at a Solution
I can't figure out what I am doing wrong with these pully problems, I tried putting in resultant forces at...
Homework Statement
A block with mass m = 2.66 kg is placed against a spring on a frictionless incline with angle θ = 37.0° (see the figure). (The block is not attached to the spring.) The spring, with spring constant k = 14 N/cm, is compressed 19.1 cm and then released. (a) What is the elastic...
If a constant force is applied to an object and the force is pushing the object up a inclined ramp with constant velocity what is the acceleration if mass is unknown?
F=ma
F=m (1m/s^2)
If i apply this equation then acceleration is 1m/s^2. Am i applying this formula correctly? thanks
Homework Statement
A disk of radius R and mass m rotates on a floor with coefficient of friction μ and makes a circle of radius r0 at constant speed v0.
What is the friction force between the disk and the floor.
What's the inclination angle α to the vertical.
It's suggested in the question to...
Homework Statement
An ideal cord is connected to a wall on the top of an inclined plane at one end and is wound around a thin homogeneous cylinder of mass M and radius R. The inclination angle is ϑ and the static and dynamic friction coefficients between cylinder and plane are μs, μd , and the...
Homework Statement
A rectangular coil is composed of 150 turns of a filamentary conductor. Find the mutual inductance in
free space between this coil and an infinite straight filament on the z axis if the four corners of the coil
are located at
Homework Equations
B = (phi-hat) μoI/2πr
dS =...
While deriving formulas/describing motion on an inclined plane, why don't we take into account the shape of the object undergoing motion?
e.g.
1. If I take an inclined plane and place a ball on it, only a small amount of inclination would make the ball move down the plane...
But...
2. If a...
Homework Statement
http://i.imgur.com/Osn6pKO.png
2m long Inclined plane. Height at top of the ramp is 6.1cm
We are given distances of 0.5, 1, 1.5 2.0m and their times (close to 2.5s, 3.5s ,4.25, 5s).
Need to calculate g.
Homework Equations
d=1/2at^2
g=a/(sinθ/(1+I/mr^2)) (where...
Homework Statement
A block with a mass of 100kg is being pulled with a force P in and effort to move it down the ramp. The ramp makes a 20 degree with the horizontal ground. The coefficient of the friction between the ramp and the block is 0.7.
Find the frictional force and the horizontal...
Homework Statement
What is the Moment of inertia of rod about an axis inclined?
It is given as ## \frac{ML^2sin^2θ}{12} ## but how?
Homework Equations
I know MOI for axis passing through center along y-axis as
## \frac{ML^2}{12} ##
The Attempt at a Solution
Shouldn't it be ## \frac{ML^2}{12}...
Homework Statement
Given an inclined angle of θ = 30° and 10m long. The coefficient of friction is 0,1 and the mas of the block is 1kg.
a) Find the velocity needed for the block to climb the plane and its velocity be 0 in the top.
b) Find the time it took to reach the top.
c) Find the speed of...
Hi.
As a teacher I know that many of my students find it difficult to understand the inclined plane and the forces involved. So I decided to create a simulation using geogebra. I uploaded a video to Youtube showing how the simulation works:
The simulation is free to download if you want to...
Homework Statement
I have two conceptual questions that I have written in read in my solution. The solution, and all the work, is correct. However there are two things that I am unsure as to why I am doing it. Thanks!
Homework Equations
Included in solution, although none should be needed as...
Hello, I have a cart going down an air track with an inclination of 7 ° and for some reason my acceleration is going on a downward trend, my velocity is increasing and naturally so is the time. to find velocity I'm using v = (2x)/t and for acceleration I'm using a = (2x) / (t^2). Can you tell mr...
Homework Statement
In a classroom demonstration, a glider moves along an inclined track with constant acceleration. It is projected from the low end of the track with an initial velocity. After 8.2 s have elapsed, it is 103.3 cm from the low end and is moving along the track at a velocity of...
Homework Statement
A wheel rolling on a horizontal flat surface at a constant velocity experiences no friction force. Why?
A wheel rolling on an inclined surface at a constant velocity experiences friction force.
Homework EquationsThe Attempt at a Solution
A wheel rolling on a horizontal flat...
Homework Statement
Where's the COM
Homework Equations
The COM of a right triangle is a third of an edge apart of the right angle vertex
The Attempt at a Solution
Edge AC: ##\frac{50}{\cos 20^0}=53.2##
Two thirds of edge AB: ##\frac{53.2\cdot 30^0\cdot 2}{3}=30.7##
One third of edge BC...
Hi guys I am trying too find a formula to figure out how I would find the acceleration of a block on an incline plane IF that plane itself were accelerating in the +Y direction.
I am not even sure which frame of reference to use since the acceleration is in 2 dimensions. This hinders me from...
Homework Statement
Find the acceleration of the system if the mass m1 is a disk with radius R rolling down an incline which makes an angle theta with the horizontal, and the disk is connected to a pulley with mass M and radius R, which is connected to a block m2 hanging from that pulley. The...
Homework Statement
Two boxes of equal mass m are connected by a light string over a massless pulley, and rest on surfaces of inclination θ and φ, θ>φ. The boxes are released from rest. The coefficient of kinetic friction between the boxes and the surfaces is μ. Determine the magnitude of the...
Homework Statement
Question: A car goes down a ramp, and once it hits the floor it must travel 6 metres and then stop. Create the procedure in order to find the angle that the board must be to make this scenerio possible. You cannot test on both the floor and the board at the same time...
Homework Statement
A block of mass m = 4 kg, is held at rest on a spring (point A), spring constant k =
500 N / m, compressed by a distance AB = .DELTA.L as shown in Figure 3. When the block is freed ,
it reaches the point B ( non-deformed position of the spring ) with a velocity of VB = 5 m /...
Homework Statement
So, I need to figure out the coefficient of static friction using the equation tanθ = µs ONLY. I have been given the angle 26 degrees, and a mass of 424.32g.
Homework Equations
tanθ = µs[/B]
The Attempt at a Solution
I don't know where to start...
Homework Statement
Problem 1:
A block of mass m = 15 kg from rest on an incline of 20 °. It is assumed that
static and dynamic friction coefficients are respectively μs =0.4 and μk = 0.2. a force P
is then applied (P = 30 N) on the block as shown in Figure 1 .
a) Will the block slide? (...
Homework Statement
A 10 kg mass is on a frictionless inclined plane 30 degrees to the horizontal. At the top of the plane is a pulley that has a rope attached to mass with tension T = 75 N. If the mass starts from rest, what is its velocity after 2 seconds?
Homework Equations
F = ma
Vf=Vi +...
Homework Statement :[/B]
block M slides down on frictionless incline .Find the minimum co efficient of friction so that m does not slide with respect to M.Homework Equations :acceleration of the system=total driving force/total mass:
[/B]
The Attempt at a Solution
m does not slide with...
Homework Statement
Photogate 1 is at the 25.2 cm mark, and photogate 2 is at the 66.4 cm mark along the track, Assume
* The bottom of the track is at U = 0 J (potential energy is zero).
* The total mass of the cart is 214 g.
* The track is totally frictionless
Suppose the cart is released at...
Homework Statement
Let's suppose we have a [cuboid](http://en.wikipedia.org/wiki/Cuboid) of dimensions ##a \times b \times c##. We put it on an inclined plane of an angle ##\alpha## so that only one edge of length ##c ## touches the plane. In time ##t = 0 ## the cuboid doesn't rotate. Let the...
Homework Statement
A crate of mass 9.2 kg is pulled up a rough incline with an initial speed of 1.52 m/s. The pulling force is 110 N parallel to the incline, which makes an angle of 20.6° with the horizontal. The coefficient of kinetic friction is 0.400, and the crate is pulled 4.94 m.
(e)...
Hello,
After collecting data for the classic physics experiment - motion down an inclined plane, I assembled my graph, and found something startling; in my graph, acceleration is proportional to mass (use the attached file for reference).
Theoretically, my graph should resemble the inverse...
Homework Statement
A solid uniform hemisphere rests in equilibrium with its curved surface in contact with a rough inclined plane which is elavated by an angle α where sin(α) = 3/16. Find the angle between the symmetry axis of the hemisphere and the vertical.[/B]Homework Equations
Sine rule...
Homework Statement
This is a diagram from "Structural Analysis" by Aslam Kassimalli while solving frames using slope-deflection method. In the figure, the tangent to the deflected shape at C` is parallel to the original member AC implying that the slope at C is zero. However, later they have...
Suppose we have a block on an inclined plane.
If we choose the x-y axis to be parallel and perpendicular to the inclined plane, then we have
Fy = N - mgcos30 = 0
But if we choose our trivial x-y coordinate system, where y is parallel to the force of gravity, then we get:
Fy = Ncos30 - mg =...
Homework Statement
Find the acceleration of both blocks
Homework Equations
Dynamics
The Attempt at a Solution
Everything in black is given in the problem. The red/blue is my work.
First I want to relate the acceleration of block A to block B by finding the constraint equations:
Lrope = 2L1...
Homework Statement
http://www.sumoware.com/images/temp/xzafcttptkeoehmo.png
An inclined plane is put on a smooth floor. The inclined plane is hit (collided) by an elastic ball moving horizontally before the collision. The ball bounce from the inclined plane and land again right at the point...
Homework Statement
A block of mass m1= 3.70 kg on a frictionless plane inclined at angle θ=30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2=2.30 kg. What are (a) the magnitude of the acceleration of each block, (b) the direction of the acceleration...
Homework Statement
"You are lowing two boxes, one on top of the other, down a ramp. Both boxes move together at a constant speed. The coefficient of kinetic friction between the ramp and the lower box is 0.430, and the coefficient of static friction between the two boxes is 0.779. The lower box...