Homework Help: maths

Posted by gemma on Wednesday, February 20, 2013 at 3:51pm.

3. Suppose that a particle moves in a plane with trajectory given by the polar equation r=2bsintheta for some constant b > 0.Show that this can be written in Cartesian coordinates as,x^2 + (y-b)^2 = b^2;This is the equation for a circle of centre (0; b) and radius b. Suppose that the transverse component of the acceleration is zero Prove that r^2theta = h is constant. Assuming that r 6= 0, show that r. = 2bhr^-2 cos(theta) and hence find r..
Use your answers to (b) to show that the radial component of the
acceleration is -8b^2h^2r^-5.
recall that r^2 = x^2 + y^2 and y = r sin(theta).

No one has answered this question yet.

Answer this Question

Related Questions

maths - A particle moves in a plane with trajectory given by the polar equation...
math - A particle moves in a vertical plane under gravity and an air resistance ...
Physics - A particle leaves the origin with a velocity of 7.2 m/s in the ...
kinematics - these are two similar kinematics maths question which i dont know. ...
maths urgent please - a particle moves in a straight line such that its position...
calculus - 5. A particle moves along the y – axis with velocity given by v(...
uniten - 3. At t = 0 , a particle leaves the origin with a velocity of 9.0 m/s ...
physics - A particle moves in the xy plane with constant acceleration. At time ...
Maths mst - Question – 3: Consider a particle moving according to the ...
Calculous - A particle moves along the c-axis so that at time t its position is ...

For Further Reading

First Name:
School Subject:
Answer: