After impact VCos(alpha) will be normal to the inclined, now i calculated for theta by using [ Tan(theta) = vCos(alpha)/vSin(alpha),. Tan(theta)= Cot(alpha) ]. I don't know how to solve further to get value of theta, according to book thta = alpha.
Summary: I want to crush a single layer of granules from a single material that are 400-600um in size using a flat, circular probe, which will generate a force v time or force v distance curve. The quantity I am trying to measure is the granule (tensile) strength of the material.
I believe...
As the title says, I am studying this topic for my control systems fundamentals course. I think I intuitively understand the meaning of the convolution integral that relates input, output and the impulse response, but I am failing to prove it graphically.
For example, the intuitive explanation...
Now, the net vertical impulse on the wedge should be zero. It's quite obvious from the figure that the ground will also exert an impulse of ##J cos 30°## on the wedge. But they've given the answer as ##J sin 30°##.
They're wrong, right?
The fig. 1.1(a) is a mass m attached to a spring that is fixed to a wall. I don't understand what does "a sudden momentum impulse" means. Is it an external force o what?
I imagined that the new equation of motion would be
md^2x/dt^2+dp1/dt-kx=0
md^2x/dt^2+mdv1/dt-kx=0
is this the equation i...
Homework Statement
A railway locomotive pushed a stationary wagon and accelerated to 4ms. Did the same to another wagon with same force and time and accelerated it to 6ms. The two now stationary wagons are bow locked together and the same impulse force is applied to the wagons to move them...
Homework Statement
A 0.500 kg ball is dropped from rest at a point 1.20 m above the floor. The ball rebounds straight upward to a height of 0.700 m. What are the magnitude and direction of the impulse of the net force applied to the ball during the collision with the floor?
Homework...
Homework Statement
Two blocks of mass 2M and M head toward each other sliding over a frictionless surface sliding with speeds 4v and 6v respectively. After the collision the 2m mass is at rest, and the mass M has a velocity of 2V to the right. Was the collision elastic or inelastic?
a...
Homework Statement
[/B]
A 1kg cart, a 0.1kg ball, and an elastic cord connecting the ball and the cart, are placed in a weightless environment; see Figure. The cart has the shape of a symmetric trapezoid with its left and right edges at a 60-deg angle from the vertical. It is also attached with...
Homework Statement
A ball of mass 0.075 is traveling horizontally with a speed of 2.20 m/s. It strikes a vertical wall and rebounds horizontally. Due to the collision with the wall, 20% of the ball's initial kinetic energy is dissipated.
Show that the ball rebounds from the wall with a speed of...
Hi
I have a question regarding the dt timestep of an impulse load as discussed in the following video:
He uses dt=10ms. If we set dt=8 or 9 or 11 we get widely different values for Fmax.
Thus, a lot of such impulse loading boils down to the correct selection of dt.
I was wondering if...
Homework Statement
I have a hipotetic rocket that have a power of 3000 watt, however its position don't change because the effect of a gravity of 10m/s^2 do the rocket remains like it would be resting. I need to determine the mass of the rocket. In a similar problem I have a rocket also in an...
Homework Statement
Homework Equations
$$
J \space (\text{Impulse})= \Delta (mv) = F \times \Delta (t)
$$
The Attempt at a Solution
As much I interpreted, we have to calculate the impulse caused by the tension till the relative velocity of approach along the string becomes 0. T to this, I...
Homework Statement
Two blocks of mass(4 Kg and 0.1 Kg ) are connected by a mass less string that passes over a friction less pulley.The 4 Kg mass rests on the ground and the 0.1 Kg is hanging above the ground.Find the minimum distance from which the 0.1 Kg mass can be lifted and drop so...
Homework Statement
two discs of radii r and 2r are pressed against each other. Initially disc with radius r is rotating with angular velocity w and other disc was stationary. Both discs are hinged at their respective centers and free to rotate about them Moment of inertia of 1st disc is I and...
Homework Statement
Hi there, I've been trying to gain some intuition on how the convolution sum works, but as I dig deeper I am realizing that there is an issue with my intuition of signals and systems, in particular the unit impulse response.
My issue is trying to understand how a unit...
Homework Statement
Four equal discs of mass ocuppy the vertices of a square frame made by four rigid bars of length and negligible mass. The frame is at rest on a horizontal table, and it can move with negligible friction. An instantaneous impulse is transmitted to one of the masses, in the...
Homework Statement
Is that possible to obtain the a relationship between Young's modulus of a spring and impulse force with below information ? I personally think that we cannot if without the given cross-sectional area A and the given spring constant k.
The particle is connect to a elastic...
Homework Statement
Aplayer bounces a 0.43-kg soccer ball off her head, changing
the velocity of the ball from
Vi = (8.8 m/s)x + (-2.3 m/s)y
to
Vf = (5.2 m/s)xN + (3.7 m/s)y[/B]
. If the ball is in contact with the
player’s head for 6.7 ms, what are (a) the direction and (b) the
magnitude of...
Homework Statement
The attached image.
Homework Equations
Momentum conservation
Conservation of mechanical energy
The Attempt at a Solution
I tried conserving momentum,
##P=mv_{1} + Mv_{2}##
and then conserving M.E.,
P^2/(2m)=1/2##mv_1{1}^2## + 1/2##Mv_{2}^2##
After that I can't seem to...
1. Homework Statement
in picture
Homework Equations
momentuma+momentumb=momentum of system
The Attempt at a Solution
So i just spent 1 hour trying to solve this problem and got completely stuck when trying to solve for the angle of ball 2 in the final position i ended up with an equation...
1. Homework Statement
In picture above
Homework Equations
impulse = Δp[/B]The Attempt at a Solution
4.28NS = Δp
4.28NS = pfinal - pinitial
4.28NS + 0.18kg*0.16m/s = pfinal
(4.28NS + 0.18kg*0.16m/s)/.18kg = vfinal
vfinal = 39.77777778m/s
Now i got the direction incorrect but the magnitude...
Homework Statement
Cart travels with a mass of 100kg in the 25m/s in the X-Direction and then 20m/s in the Y-Direction. What is the impulse?
Homework Equations
I = m*change in velocity
The Attempt at a Solution
I = 100(20 (j) - 25(i))
I = (2000 (j) - 2500(j)) kg* m/s
Is this correct?
Homework Statement
Homework EquationsThe Attempt at a Solution
I think none of the options are correct . It is a uniform motion between t=0 and t=2 sec. Velocity is constant .
Impulse is given by m∆v .Since ∆v = 0 , impulse is zero at t= 2 sec .
Is that correct ?
Hey all, so I'm self studying and I came across this question:
A ## 2 kg ## cart, traveling on a horizontal air track with a speed of ## 3 m/s##, collides with a stationary ##4 kg## cart. The carts stick together. The impulse exerted by one cart on the other has a magnitude of:
A. ## 0 ##
B...
Homework Statement
Given the setup above, what distance x should the ball be away so that there is no impulse reaction at A?
Homework Equations
Conservation of Linear and Angular momentum.
The Attempt at a Solution
Conservation of linear momentum (←+)
(considering the bat alone)
M(vg1) + ∑...
Homework Statement
(Sorry for not typing like Latex, I still do not know how)
One has a uniform stick of length l which is held horizontally. At t=0 it is released from rest. At the same time, a sharp upward blow by a force of magnitude F perpendicular to the stick is applied at a distance d...
Homework Statement
Homework Equations
Find laplace of x(t) and h(t)
Multiply the laplaced values to get Y(s)
Find inverse laplace to get y(t)
The Attempt at a Solution
In book the circled term isn't there. Why does that go away?
Book gets y(t) as
In laplace why does the e5t term go away?
Homework Statement
Homework Equations
Derivative of step response is impulse response
The Attempt at a Solution
[/B]
I marked A cause it matches the other coefficients. But where does 9 come from in the last term.
I tried with laplace and got the last term as 9. But how to get that in time...
Homework Statement
Homework Equations
Use Laplace then multiply in laplace domain then do laplace inverseThe Attempt at a Solution
Book answer is A
I don't get the first term of eat in option A.[/B]
Homework Statement
A taxi car weighing 2000kg hits a stationary mini-van that has a mass of 2200kg. The taxi stops and the mini-van rolls and hits a stationary sports car with a mass of 1830kg. Their bumbers hit and they move together at 2.3m/s. What is the velocity of the taxi before the...
Homework Statement
Hello everyone,
In the following problem I have to find the unknown impulse response g1(t) given the input and output signals, as shown below:
(the answer is already there, at the moment I am trying to understand how to get there).
Homework Equations
[/B]
I have...
Homework Statement
In a physics lab, 0.30 kg puck A, moving at 5.0 m/s [W], undergoes a collision with a 0.40 kg puck B, which is initially at rest. Puck A moves at 4.2 m/s [W 30 N] . Find the final velocity of puck B.
Homework Equations
Conservation of momentum
Pythagorean theorum
The...
Homework Statement
[/B]
In an elastic head-on collision, a 0.60 kg cart moving at 5.0 m/s [W] collides with a 0.80 kg cart moving at 2.0 m/s [E]. The collision is cushioned by a spring (k=1200 N/m).
a) Find the velocity of each cart after the collision
b) Find the maximum compression of the...
Homework Statement
Car bumpers are able to reduce the force of an impact by allowing the force to the spread over a greater duration of time. I am wondering how this affects the impulse between collisions because while increasing the time it is decreasing the force, both of which are...
It's simple to everyone but me haha
1. Homework Statement
We toss an egg onto the floor, and it breaks. We toss an egg onto a pillow on the floor, and it does not break. The egg that does not break experiences a smaller:
A. Impulse
B. Change in momentum
C. Maximum ForceHomework Equations...
Two spheres of different masses are dropped to ground.They are in contact as one above the other and are of masses, let’s say m and 2m.They are dropped with velocity v - My question is if we can conserve momentum and if we can why?And how to find the final velocity of upper ball after collision...
Homework Statement
A hockey player hits a slap shot, exerting a constant force on a 3.06 kg puck for 0.06 seconds. What is the change in momentum of the puck?
Homework Equations
Impulse = Mass x (Change in velocity) = Force x time
(I think that’s all needed? Most likely missing one.)
The...
Hey guys I was just studying for finals and I came across something in my textbook that either wasn't explained properly or something I just don't get.
So this page explains that the coefficient of y_n[k] is A_0, which is represented by b_0/a_0, I can see that a_0 is determined by multiplying...
Homework Statement
A circular plate with radius 0.5 m and mas 5 kg is hung on the wall, fixed at a point that is 0.3 m above its center. The plate can freely rotate about the fixed point with no friction. A very short-duration impulse of 5Ns, along a direction that is tangential to the...
I bolded the portions I need help with.
1. Homework Statement
A series circuit consists of a resistor with a resistance of 16 ohms, an inductor with inductance of 2 H, and a capacitor with a capacitance of 0.02 F.
At time t = 0 there is no charge on the capacitor and no current in the circuit...
Hi there, so I'm not sure if this is allowed or not, but usually before I submit my work I try to check it on the internet to get full marks. I do the work as best as I can to try and get the best understanding of the subject possible. I think a) is correct but I think I messed up somewhere in...
Hi,
I want to understand the meaning of unit impulse response when time flows. An example is given below:
In the example the left signal depicts a δ[n] function value of which is 1 only at n=0. The LHS signal is response of the system to the unit impulse.
I want to understand how to...
Homework Statement
What is the Average Force between m1 and m2. Show all work.
Note that the masses are both at rest, and begin to push off of each other in opposite directions.
Their velocity is measured when they reach 20cms distance. (I calculated the velocity when they reached this point...
1. The problem statement, all variables, and given/known data
A somewhat paraphrased version of the problem:
Consider the vertical motion of the center of mass of a 150 lbs person as they run along a track. Suppose the person's cadence is 4 steps per second, and with every stride, they briefly...
Homework Statement
Homework Equations
Force * time = mass * change in velocity[/B]The Attempt at a Solution
What I did was I converted the y-axis from kilograms to Newtons, since the "mass" reading is the force that the scale experiences. Then, the area under the curve will be the change...
Homework Statement
Sorry for another question so soon, I am not sure if there is a limit on how many I can ask. I try to keep it to a minimum but sometimes I can't figure it out on my own.
Question:
In a physics lab, 0.30 kg puck A, moving at 5.0 m/s [W], undergoes a collision with 0.40 kg...