The hollow tube is pivoted about a horizontal axis through point o and is made to rotate in the vertical plane with a constant counterclockwise angular velocity = 2.9 rad/sec. if a 0.15-lb particle is sliding in the tube toward o with a velocity of 4.8 ft/sec relative to the tube when the position θ = 36° is passed, calculate the magnitude n of the normal force exerted by the wall of the tube on the particle at this instant.

To solve the problem it is necessary to apply the concepts related to Newton's second law, as well as to the sum of forces in this type of bodies.

According to the description I make a diagram that allows a better understanding of the problem.

Performing sum of forces in the angular direction in which it is inclined we have to

Tangential acceleration can be expressed as

Our values are given by,

Substituting

At the same time we acan calculate the mass of the particle, then

W = mg

Where,

W = Weight of the particle

m = mass

g = acceleration due to gravity

Now using our first equation we have that

Therefore the normal force exerted by the wall of the tube on the particle at this instant is 0.2914Lb

i just did an experiment like this in my science class. also the answer is yes, it will get separated because they are two opposites meaning if they are opposite they can not attract.

hope this .!

note: the given question is incomplete.

complete question is given below.

which is an example of kinetic energy?

a. the energy stored in ethanol  

b. a hockey puck sliding across the ice  

c. a compressed spring  

d. a ball sitting at the top of a ramp

solution: the kinetic energy is the energy posses by the virtue of the motion of the object.

in the given options, a, c and d are the example of potential energy because it is the energy posses by the virtue of the rest of the object. but option b has the kinetic energy as the object is in motion.

hence, a hockey puck sliding across the ice   is the apex example of kinetic energy.

so, the option (b) a hockey puck sliding across the ice   is the correct option.