Investigating a dynamic movement in polar coordinates

Assignment Help Mechanical Engineering
Reference no: EM13596

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 . 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.

FRONT VIEW

1416_Investigating A Dynamic Movement in Polar Coordinates.png

TOP VIEW

2401_Investigating A Dynamic Movement in Polar Coordinates1.png

 



Notes:

Your own values of θ, 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.

Reference no: EM13596

Questions Cloud

Create the graph using matlab functions : Create the graph, which contains a piecewise function where a line exists in the first interval, a parabola in the second interval, and the sine function in the third interval.
Aerodynamics and flight mechanics : Write a short technical report on Frequency Division Multiplexing
Frequency division multiplexing : Write a short technical report on Frequency Division Multiplexing
Create a window in java : Create a window apllication in java
Investigating a dynamic movement in polar coordinates : Investigating A Dynamic Movement in Polar Coordinates
What is the magnitude of the current in the wire : What is the magnitude of the current in the wire as a function of time?
Write a recursive instance method : Write a recursive instance method
How many mols of hydrogen can produce : how many mols of H 2 can produce
Calculate the probability : Calculate the probability that the rent of a randomly selected unit.

Reviews

Write a Review

 

Mechanical Engineering Questions & Answers

  Verify the law for parallelogram of forces

To Verify the law for parallelogram of forces, law for triangle of forces and law of polygon of forces. These laws are very useful to calculate unknown forces in very short time.

  Design of absorption column and the cooler

Design of absorption column and the cooler. Process design of other units should be completed along with pipe sizes.

  Write a paper on boyle''s law

Write a paper on Boyle's law and describe Compression and Combustion stroke . Also explain Charles's law and illustrate SI engine and CI engine.

  Package design

Package Design Brief: Assume you are the packaging engineer for a large consumer products company. In this company, the Packaging Design Briefs are initiated by the marketing group and forwarded to the Package Engineering group.

  Force of the water on the gate

Determine the magnitude of the horizontal and vertical components of the force of the water on the gate.

  Wind turbine

Wind turbines are becoming more and more common as a method of energy production, wind turbines by their very nature are dynamic and are subject to and create their own internal and external kinematics and kinetics.

  The Case for Global Accounting Standards

The role of IFRS in both developing and developed capital markets.

  Create a cad model of the planar robot

Create a CAD model of the planar robot

  Discharge pressure of the compressor

What is the discharge revised discharge pressure of the compressor.

  Solve for the dynamics of the resulting system

Solve for the dynamics of the resulting system for 20 seconds of real time using midpoint method.

  Mechanical engineering questions

Define dynamic viscosity, Determine the centroid, Pressure due to the height of liquid, Advantage of changing the liquid, Calculate the total moment about the hinge of the seal gate.

  Advanced design methodologies

8 x product engineering and design review (week 2 – 12), ~3 pages per item which must contain a brief description of the product then delve into concepts such as materials selection, manufacturing methods, life cycle analysis, recyclability and overa..

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