Homework Statement
Hi
I've been struggling to work this out over the last week, so any help would be appreciated!
1: An object of mass 400kg is dragged at a constant velocity of 0.5m/s up a rough slope inclined at 25degrees to the horizontal. Given that coefficient of kinetic friction between...
Does hooks law apply to a bent hockey stick. How does one measure the potential energy? Do I start by clamping one end weighing down the other and noting weight and deflection of the tip?
I realize hooks law is an approximation, and can picture its relevance to an extension/compression and...
Hello.
Have you ever seen this experiment?
OK, i know why does the watter flows without cover and does not flows with cover.
However, what about the springs? Why they get together with horizontal hand movement and separate with vertical hand movement?
Liquid always have the possible...
I need help with a spring problem:
Two identical springs hung from a ceiling have different masses. The first spring is 1 kg with a total length of 6 cm. The second spring is 1.5 kg and is 7 cm in length. The displacement between the two springs is 1 cm. Find the spring constant k...
Homework Statement
A stick with mass ##m=0.1kg## and length ##a=0.5m## has on each end welded a spring with constant ##k=2000N/m## and length ##l=0.2m##. We stretch both of the springs and mount them on the sides of vertical walls which are ##d=1m## apart. Find both translational and...
Homework Statement
One spring is located inside a wider spring. Both ends are welded together and hanged from a tree. both springs are ##30 cm## long when not deformed. The first spring has ##30 g## and ##k=5 g/cm## the second spring has ##60 g## and ##k= 6g/cm##. How deep under the branch...
Homework Statement
We have two springs each ##0.5 m## long and both have ##k=5N/cm##. One end of the spring is attached to the wall while the other two ends are connected in the middle. On the junction point of the two springs a mass is hanged. How does the frequency of oscillation around...
Let's say we have a spring with 10 coils and a spring constant of k=100 and compress from the right it a distance of 1 cm, we have to apply force F = k*x = 100*0.01 = 1 N. But if we then compress it from both left and right, and apply half the force from the first case to each side, shouldn't...
In a new Olympic event athletes run as fast as they can,
jump onto a sled, ride it down a hill and compress a
spring as far as they possibly can. (who thinks of these
any ways)
a. Consider a 55.0 kg athlete that makes it to a top
speed of 12.5 m/s before jumping onto a 15.0 kg sled. What is...
Homework Statement
Two springs have spring constants k1 and k2, are in a vertical position to support a single object of mass m. Show that the angular frequency of oscillation is ((k1+k2)/m)^(1/2) if the springs are in parallel.
The Attempt at a Solution
The book then goes on to...
I am going through Mary Boas' "Mathematical Methods in the Physical Sciences 3rd Ed". I finished the chapter 3 section 12 problem set, but I do not understand how she gets eq. 12.39. These don't seem obviously equal to each other. Here is the equation:
$$\lambda Tr=Vr$$ Where T is a matrix...
Hello,
Hope someone finds this a challenge.
Thought it would be a snap to find out, goggled it, nothing. Weeks later have not found one person in the world that knows of one example of how fast coil springs release. Just talked with Hyperco a major manufacturers head engineer, he...
Springs question -- vertical versus horizontal stretching...
So I know hooke's law well enough and I understand the spring constant and it's vertical applications where force equals displacement times some constant.
What I am unsure of is to what degree this all applies to a horizontal stretch...
Hello! I have a problem in classical mechanics that I'm unable to solve. Any help would be much appreciated since we have a partial exam tomorrow. :(
Homework Statement
There's a picture of the problem in the attachment
A mass m, which is on a light rod (lenght d), is attached to a...
Homework Statement
A body with mass ##m## is hanged on a line with length ##l## and attached to springs in point ##p##. Point ##p## can move only horizontally. In equilibrium position, non of the springs is deformed. Now let's give that body just a little push out of equilibrium position...
Hello, I would like some help with the following question. I highly appreciate your help ! I got an answer that doesn't make sense so I know there must be a concept that I don't get.
There is a complicated piece of machinery sitting on a plank of metal which
is 2 m long. The metal and...
Hello
In every physics book they explain how to compute the force that a spring exert if one of its ends is fixed to a wall (or equivalent) and the other end is compressed or stretched.
But how to deal with the problem if both ends are 'free'.
For example, suppose you have two blocks...
Homework Statement
Hooke's law describes a certain light spring of unstressed length 35.0 cm. When one end is attached to the top of a door frame and a 5.40 kg object is hung from the other end, the length of the spring is 42.00 cm.
(a) Find its spring constant.
(b) The load and...
Homework Statement
Figure shows a particle of mass m attached with four identical springs each of length L0. Initial tension in each spring is F0.Neglect gravity calculate the period of small oscillations of the particle along a line perpendicular to the plane of figure. (Take F0 = (0.01 π2)N...
Homework Statement
A mass of .75kg moves at 1.043m/s across a frictionless surface. Then it hits a .5m rough patch which has a coefficient of friction of .25. After moving through the rough patch, it continues on a frictionless surface. The mass then collides with a long spring. The spring...
Hey,
Lets say I have the following gas spring system:
https://dl.dropboxusercontent.com/u/47965009/asd.jpg
In which
P_a,P_b
are the pressures and
V_a,V_b
the volumes.
I would like to know how to determine the gas spring stiffness in this case?
[b]1. There is a central mass Mc connected by two identical springs of spring constant k to two identical masses Mo.
a) Set up and solve the equations for the two normal modes (the ones in the attached images) in which the masses oscillate along the line joining the centers...
Homework Statement
I have 2 walls, 3 springs, and two masses. The masses and springs are not necessarily similar to the other(s).
They are connected in a configuration: Wall-Spring1-Mass1-Spring2-Mass2-Spring3-Wall.
I need to find equation for both masses, given that not all springs are in...
A spring extends by 10cm when a mass of 100g is attached to it. What is the spring constant? (calculate your answer in N/m)
I have done this so far but I don't feel that it is right as the Force (F) is in grams and not Newtons:
F = K x E
100 = K x 0.10
100 ÷ 0.10 = 100
K = 100 N/m...
Homework Statement
P45) In the arrangement shown in figure, the sleeve M of mass m is fixed between two identical springs whose combined stiffness is equal to k. The sleeve can slide without friction over a horizontal bar AB. The arrangement rotates with a constant angular velocity w about a...
Homework Statement
You have two springs with spring constants k_1 = 10 and k_2 = 20 vertically attached to a wall, and a mass of mass 3.00kg is hung from it. Find the period of oscillation.
----------------
||
|| <-- first spring, k_1 = 10
||
--
||
|| <== second...
Homework Statement
A spring whose spring constant is ##k## is suspended from the ceiling. A block of mass ##M## hangs from the spring. A bullet of mass ##m## is fired vertically upward into the bottom of the block and stops inside of the block. The spring's max compression ##d## is measured...
Homework Statement
A mass of 9.96*10^-27kg is centered in between two springs which have a spring constant of 73N/m and 27N/m respectively. The other side the spring is pushing on is solid and does not move. What is the angular frequency of oscillation of the mass?
k1=75
k2=27...
Homework Statement
Ok so the actual spring is attached to the 30 kg mass and is unstretched at this height off the ground. So if I were to pull the 25 kg mass down the plane 20 cm(assuming no friction on plane), and then let go, what would the velocity of the two masses be when the spring is...
Homework Statement
A 1.6kg mass is suspended from a spring inside a stationary elevator. The spring stretches 12cm. The elevator now accelerates upwards, and the spring extends a further 12cm. What is the elevator's acceleration?
Homework Equations
Fy= may
Ue= 1/2 (kx2)
The Attempt...
Homework Statement
So we have a test this Friday over several topics in modern mechanics. Our professor gave us last year's test to use as a study guide, but hasn't posted the solutions yet. I'm not sure I'm doing this one right so I was hoping someone could check my work! I feel like my...
1. Two blocks of equal mass are each pushed (from rest) along a frictionless surface a distance d. The force applied to block B is four times that applied to block A. What is the velocity of block B, relative to that of block A, vA?
a) 4 vA
b) 2 vA
c) vA
d) vA/2
e) vA/4
2. What is the...
Homework Statement
When a .5kg mass is suspended from a spring, the spring stretches 4cm. The mass is then displaced 2cm from its equilibrium position and released.
(a) What is the spring constant? (b) What is the mechanical energy of the mass? (c) What is the speed of the mass as it passes...
I have a project I'm tinkering with that involves a "gyroscope" that I want to rotate back and forth using a spring. The gyroscope is a piece of steel pipe with a 4in ID about a foot long that weighs roughly 10lbs or so. I have a 5/16ths rod going down the center as an axle and it's running on...
Homework Statement
Suppose you have a beam with a transverse load P pointing down in the center, directly over the middle "spring". This beam is supported by 9 uniformly distributed springs of constant k. Compute the loads of the springs.Homework Equations
You know that the problem is...
Homework Statement
a mass m hangs from a uniform spring of spring constant k.
(a)what is the period of oscillations in the system?
(b)what would it be if the mass m were hung so that:
1)it was attached to two identical springs hanging side by side?
2)it was attached to the lower...
Homework Statement
A mass m rests on a frictionless horizontal table and is connected to rigid supports via two identical springs each of relaxed length l_{0} and spring constant k. Each spring is stretched to a length l considerably greater than l_{0}. Horizontal displacements of m from its...
When springs in parallel are replaced by a new spring of a new effective spring constant, for the proof of this, i.e
keff=k1+k2
Why do we assume the extension in the springs to be equal?
Homework Statement
A block of mass m is suspended through a spring of spring constant k[I/] and is in equilibrium. A sharp blow gives the block an initial downward velocity v. How far below the equilibrum position does the block come to an instantaneous rest?
Homework Equations...
In the Princeton Review for AP Physics, there is a question on calculating the effective spring constant when two springs are joined side by side, like so:
spring 1 spring 2
|~~~~~~ ~~~~~~[mass]
Their spring constants are k1 and k2.
How would you go about answering the question? The book...
Homework Statement
2. You have been asked to evaluate a new device
designed to hold arteries open. The design has three
identical very small spheres connected in an equilateral triangle by three identical small springs. When inserted into an artery, the springs are compressed. To determine...
Homework Statement
See attached link
The Attempt at a Solution
I am fine up to the point where I have to express in matrix form. My method was, given the equation for the energy, to put this in matrix form and then recover the equations of motion from there (by differentiating and...
Homework Statement
(see attachment)
Homework Equations
The Attempt at a Solution
At equilibrium conditions, the forces acting on ##m_2## are the tension due to the strings and its weight. ##T=m_2g+T'## where T is the tension in the string above ##m_2## and T' is the tension in the...
Homework Statement
Hey guys.
The title says it all pretty much. We need to find the normal mode frequencies of a driven/forced system containing 3 equal masses connected by 4 springs of equal spring constant k.
Homework Equations
F=m\ddot{x}
Spring potential
V = 0.5kx^{2}...
Second question I am stuck on:
A spring of natural length l with modulus of elasticity λ has one end fixed to the ceiling. A particle of mass m is attached to the other end of the spring and is left to hang in its equilibrium position under the influence of gravity.
(i) Find the extension...
Homework Statement
Please refer to the image.
My workings= pencil
Answer= pen
Why is my working wrong? What wrong assumptions did I make?
Homework Equations
Hooke's law/Newton's second law/ Elastic potential energy =0.5 kx^2
The Attempt at a Solution
As shown in the image.
Homework Statement
Take the example in Figure 3.12 on pg 117 (see attachment) with parameters ##m_1=m_2=1## and ##k_1=k_2=1##. Does there exist a set of initial conditions for which the first cart moves but the second cart does not? If so, find those conditions.
Homework Equations
The...
Ok, you guys! Please note that this is NOT a homework question but merely something that's been bothering me for a while.
We have a vertical spring with a hanging mass M. We pull the mass down and let it go, thus creating a harmonic oscillator with the frequency f.
What happens with the...
Homework Statement
Find the time period of the oscillations of the body whose mass is m when it is displaced slightly form equilibrium. All springs have spring constant k and the pulleys and strings are massless and frictionless.
Homework Equations
T=2∏\sqrt{\frac{m}{K}}
where T is...
Could somebody please tell me if we can apply young modulus theory to a slinky spring, or can only be applied to a rod when strenched?If possible to apply to the slinky spring, how can we calculate the elasticity of that slinky spring?by the way what is the process by which slinky springs are...