At what angle theta will the bead rotate

Reference no: EM13717579

Compute all parts of given problem:

Problem: A stiff piece of wire is bent into a circle and mounted (vertically) to rotate as shown. A wooden bead with a hole through its center can slide frictionlessly on that wire. The radius of the wire hoop is 15.0 cm and it rotates steadily with a period of 0.450 s.

Part A: At what angle theta will the bead rotate, along with the hoop, without sliding (up or down)? Show that there are two possible angles (solutions) for this hoop size and rotational speed. Include a clear free body diagram of the bead as part of your solution.

Part B: At what period would the ball not leave the bottom position (theta =0)?

Part C: At what period would theta =90o? What would that angular speed then be?

Part D: If the hoop were twice the radius, what would be the non-zero angle (at which the bead would rotate)?

Please show step by step process to the answer, explanation, as well as formulas. Thanks.

Reference no: EM13717579

Questions Cloud

How many electrons pass through the resistor : A resistor operates at 110V in 10 mins. How many electrons pass through the resistor during this time interval, if heat rate is 300W

What is the energy loss due to resistive loss : A high-voltage transmission line carries 0.500A for a distance of 200 miles. What is the energy loss due to resistive loss in 24 hours

Determine the specific volume-ideal gas equation of state : Determine the specific volume, in m3/kg, of Refrigerant 134a at 16 bar, 100°C, using (a) Table A-12. (b) Figure A-1. (c) The ideal gas equation of state. Compare the values obtained in parts (b) and (c) with that of part (a)

Calculate the acceleration of gravity : The asteroid 243 Ida has a mass of about 4.0×1016kg and an average radius of about 16 km, Calculate the acceleration of gravity on 243 Ida

At what angle theta will the bead rotate : A stiff piece of wire is bent into a circle and mounted (vertically) to rotate as shown. A wooden bead with a hole through its center can slide frictionlessly on that wire. At what angle theta will the bead rotate

What must be the length of this wire : Suppose you wish to fabricate a uniform wire from 1.80 g of copper. The wire is to have a resistance of R = 0.640 ohms and all the copper is to be used. What must be the length of this wire

What was the coefficient of kinetic friction : After hitting a long fly ball that goes over the right fielder's head and lands in the outfield, the batter decides to keep going past second base and try for third base. What was the coefficient of kinetic friction between the player and the groun..

Estimate the change in the kinetic energy of the sled : A 5 kg sled is initially at rest on a horizontal road. The sled is pulled a distance of 2.7 m by a force of 36 N applied to the sled at an angle of 30o to the horizontal. Find the change in the kinetic energy of the sled

Obtain the average power delivered by the car engine : A car of mass 1400 kg traveling at 22 m/s is at the foot of a hill that rises 120 m in 4.4 km. Find the average power delivered by the car's engine, neglecting any frictional losses

User Account

All Pages