Dynamic movement in polar coordinates, Mechanical Engineering

Assignment Help:

You are required to investigate the dynamic movement of a mass m sliding along a rod as shown in the diagram below. The rod is rotating at a constant angular velocity θ. The mass m is able to slide along the rod from position 1 (given by r = r1 to position 2 given by r = r2). At position 2 there is a stop as shown on the figure .Initially, at time t = 0, the mass m is tied by a string to the centre of rotation O which is then suddenly cut and frees the mass. At time t = 0, the angular position of the rod is θ = 0 rad. You are to neglect friction and the mass of the rod.

995_Dynamic Movement in Polar Coordinates.png

Notes:
Your own values of , r1, r2 and m are given in your Data Sheet

This investigation is to be carried out with your own specific data provided on a separate Data Sheet. No written material such as paragraphs or parts of text should be copied from any other source including your fellow students. All written text should be your own work.

Your tasks and corresponding marking scheme are as follows:

A. Draw the free body diagram of the forces on mass m at a position r between r1 and r2 and deduce the expressions for ar and aθ.

B. Determine the values of radial and tangential accelerations at position 1 just after cut-off of the string.

C. Determine the expressions for radial and tangential velocities for the mass m at any position r between r1 and r2.

D. Deduce the speed of the mass m when reaching position 2 and calculate the corresponding force involved when it stops at 2.

E. At t = 0.01 s, determine the angular and radial position of the mass as well as all the components of radial and tangential velocities and accelerations.

F. Explain why there is no such a thing as a centrifugal force.

G. If friction had been taken into account, what would be the relevant equations of motion. (do not solve them).

H. Report structure & presentation.


Related Discussions:- Dynamic movement in polar coordinates

Explain sulphidation process, Q. Explain Sulphidation process? The pres...

Q. Explain Sulphidation process? The presence of sulphur converts the surface of the metal to a sulphide scale which is generally more destructive than an oxide scale. Sulphid

Part contact states, Part Contact States The loading, movement and unlo...

Part Contact States The loading, movement and unloading of parts via the manufacturing system should be scheduled through supervisory computer. In contrast along with classical

Calculate the moment of inertia , Calculate the centroid (use point A as th...

Calculate the centroid (use point A as the reference) and the moment of inertia of the shape shown in Figure. The dimensions are given in centimeters.  Calculate the moment

Axis inclain to vp and parallel to hp., draw the projection of hexagonal pr...

draw the projection of hexagonal prism of base side 20mm & axis length 50mm. when it is lying on the ground on one of its rectangular phase and axis is inclained 35 degree to vp. s

Determine the workdone by the fluid on the piston, Explain Zeroth law and 1...

Explain Zeroth law and 1 st law of thermodynamics. Describe Internal energy and Enthalpy. What is a PMMFK. Give the expression for reversible workdone in a thermodynamic system

Explain external pressure design, Q. Explain External Pressure Design? ...

Q. Explain External Pressure Design? Determine requirements for external pressure based on the expected operation of the vessel, and add a suitable operating margin to establis

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd