The collar a, having a mass of 0.75 kg is attached to a spring having a stiffness of k = 200 n/m . when rod bc rotates about the vertical axis, the collar slides outward along the smooth rod de. the spring is unstretched when s = 0. neglect the size of the collar. if the spring is unstretched when s = 0, determine the constant speed of the collar in order that s = 100 mm. also, what is the normal force of the rod on the collar? neglect the size of the collar.

Speed=1.633 m/s

Force= 20 N

Explanation:

Ideally, hence where v is the speed of collar, m is the mass of collar, k is spring constant and s is the displacement.

In this case, s=100-0=100mm=0.1m since 1 m is equivalent to 1000mm

k is given as 200 N/m and mass is 0.75 Kg

Substituting the given values

Therefore, the speed is 1.633 m/s

The sum of vertical forces is given by mg where g is acceleration due to gravity and it's value taken as

Therefore,

The sum of forces in normal direction is given by therefore

Therefore, normal force on the rod is 20 N