work done by radial force

Related BrainMass Solutions

• angular velocity of the particle and work done

  The change in the kinetic energy is The two results are identical since the work done is equal to the change of kinetic energy by work-energy theorem.

• Work Done by Radial Vector Field Along a Curve

  38010 Work Done by Radial Vector Field Along a Curve If C is the curve given by r(t) = (1 + 3 sin t) i + (1 + 5 sin^2 t) j + (1 + 5 sin^3 t) k, 0 ≤ t ≤ π/2 and F is the radial vector field F(x, y, z) = xi + yj + zk, compute the work done by F on a particle

• Description of Work, energy and motion

  Work done by any force is the dot product (F.ds) of the force vector and the displacement vector.

• The Round Trip

  Since the radial acceleration is changing, the radial force, (the centripetal force) is also changing.

• Vector Calculus: Show curl = 0, that is, the function is irrotational.

  Your solution seems ok to me, though you might want to complete it by proving it for spherical coordinates as well.

• Motion on a Sphere

  its own radial force to provide the radial component of the acceleration as given in equations (1) Therefore, the equations of motion involve only θ and φ and are obtained by substituting equation (2) into the last two of equations (1) and using

• Mass under attractive force with angular momentum; determining energy and radius.

  For small displacement from r to r+dr: radial force change = K(r+dr)^4 - Kr^4 m.ar = Kr^4.[(1 + dr/r)^4 - 1] Here ar is the radial acceleration.

• Block sliding without friction in a rotating arm.

  At the instant when theta = 30 degrees, r = 2 ft and the force exerted on the block by the arm is zero.

• conical pendulum and force exerted

  (a) Determine the horizontal and vertical components of the force exerted by the wire on the pendulum. _____N +_____N (b) What is the radial acceleration of the bob? Show all work.