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1. Consider the motion of an axially symmetric body in the absence of torques. Find the analytical solution for the Euler angles as a function of time.
2. Show that the ellipsoid of inertia of a cube of uniform density having an edge of length a, is a sphere for a set of axes whose origin is at the cube's center. What is the magnitude of the radius?
3. A thin uniform circular disk of mass M and radius rD, is mounted on a shaft which is pivoted clockwise at O about the vertical axis z. The shaft is perpendicular to the face of the disk and it defines the x2-axis; the mass of the shaft can be ignored. If the disk rolls without slipping and makes one complete revolution in a circle of radius R in a time 2-, write the expression for the angular momentum of the disk with respect to the axes x2 and x3 through 0.
4. A football is thrown such that on release its axis of symmetry is 10o above the horizon and its angular velocity is 2.5 rev/sec at an angle of 15° above the axis of symmetry. The moment of inertia of the football about the axis of symmetry is 4/9 times the moment of inertia about a perpendicular axis through its center of mass. Assuming torque free motion determine: a) The angle between the symmetry axis of the football and the axis of precession. b) The rate of precession of the football's symmetry axis c) The rate of the football's spin.
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.
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.
DOF system and Find the differential equation describing the system
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.
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.
What is the discharge revised discharge pressure of the compressor.
The role of IFRS in both developing and developed capital markets.
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.
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..
Design of absorption column and the cooler. Process design of other units should be completed along with pipe sizes.
Determine maximum total bending moment (static plus dynamic) of the beam under steady-state conditions.
Determine the magnitude of the horizontal and vertical components of the force of the water on the gate.
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