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A mass m=1kg, initially at rest and with x=10mm, is connected to a damper with stiffness k=24N/mm and damping constant c=0.2Ns/mm. Given that the differential equation of the system is given by d^2x/dt^2+(dx/dt *c/m)+kx/m=0, find the particular solution.

The system is described by a homogeneous, second order differential equation d2x/dt2 +(dx/dt * c/m) + kx/m =0. First, substitute the known constants (m,k,c) to get d2x/dt<...

CK
2217 Views

can you explain the multi-store model of memory

This model was devised by Atkinson and Shiffron and outlines the three permanent structures of memory to be the sensory register, short-term and long term memory. Each of these structures differ in their ...

MZ
1494 Views

How does Shakespeare explore the theme of tragedy in Act 3 Scene 7 of King Lear?


Although the scene is underlined with cruelty and chaos, by the close, it marks the beginning openness and sanctity for Gloucester. There is no hope for Gloucester’s character to progress positively...

CG
Answered by Christie G. English tutor
3143 Views

Solve the following equation. 7x^2 = 13x +2

First gather all x terms on left hand side,7x2-13x-2=0.
Since 7 is a prime number we can begin factorisation,(7x+/-?)(x+/-?)=0.
We know there must be a +/-2 and +/-1 in place of the q...

LS
Answered by Lewis S. Maths tutor
2691 Views

The equation of line L1 is y=3x-5. The equation of line L2 is 2y-6x+5=0. Show that these two lines are parallel.

To answer this question, you should make use of the general equation of a straight line: y=mx+c.For two lines to be parallel, they must have the same gradient (i.e. the same coefficient of x- which in the...

GJ
Answered by Gurvinder J. Maths tutor
4602 Views

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