Recent content by Arkavo

ok no the x is replaced by pi/2 sorry

Homework Statement x ∫((x^n)sinx)dx=0.75(\pi^2-8) find n if n is a single digit positive integer 0 Homework Equations ∫uv.dx=u∫v.dx-∫(u'.∫v.dx).dx The Attempt at a Solution i tried putting n=1 or 2 but didnt get the result i somehow don't think that's the method help please

if the whole pencil can fall then θ will be π/2 how can the 'small angle approximation' hold?

angular momentum i can understand but how can energy be conserved i mean there is only one body in question and this is not gravitation also we have to find the force ie -dV/dr which means there's a high probability energy won't be conserved

well this pic should show it all...

it means that, whereas we generally calculate the force from the center of the circle here the point if origin of the central force is on the circle itself

Homework Statement An object of mass 'm' if revolving in a circular path of radius 'R', this is analogous to a gravitational motion except that the force is applied from a point on the circle itself, it is required to find the force law Homework Equations from the point of application...

absolutely correct if initial velocity is 0 the force never gets a chance to act

maybe if you use f=T/l and l/L=angle you will get the ans

no it would not acceleration is x" rate of rate of change of x coordinate only you are calculating acceleration along the slope

maybe we can work on an analogy... A ball (of negligible radius {to cancel rotational energy})that rolls down a slope of equation y=x^3.. though i really don't see how it helps

the axle presses on the flywheel (you must have encountered some resistance) so a friction develops

the equation for v is coming such that it is a cubic in x .. unable to solve it

Homework Statement The potential energy of a particle varies as U=K|X|3, it is oscillating and the amplitude is 'A' then find out the time period's variance with 'A' Homework Equations F=-dU/dx a=F/m The Attempt at a Solution none..

why not take sin(α)=x and cos(α)=√(1-x2)