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A geometry textbook gives the equation of a parabola as y = x 2, where x
and y are measured in inches. How can this equation be dimensionally correct?
In some applications dealing with very high speeds, the velocity is measured
in mm/
The position coordinate x of a particle is determined by its velocity v and
the elapsed time t as follows: (a) x = At 2−Bvt; and (b) x = Avte−Bt . Determine
the dimensions of constants A and B in each case, assuming the expressions to be
dimensionally correct
The mass moment of inertia of a certain body is I = 20 kg
Determine the specific volume of superheated water vapour 3.5 MPa and 460 C using: a) The ideal-gas equation b) c) The generalized compressibility chart and The steam tables

A single plate clutch using both contact planes is used to deliver a torque of 90 Nm. The axial contact pressure on the clutch is 84 kPa, the coefficient of friction is 0.29 and the outer diameter is 1.26 times the inner diameter. Calculate the inner and outer diameters of the clutch required, as well as the required axial force. 


A single plate clutch using both contact planes is used to deliver a torque of 90 Nm. The axial contact pressure on the clutch is 84 kPa, the coefficient of friction is 0.29 and the outer diameter is 1.26 times the inner diameter. Calculate the inner and outer diameters of the clutch required, as well as the required axial force.


A lift of mass 1.1 Mg is suspended from a light cable that is wound around a winding drum with a mass of 162 kg, an effective diameter of 500 mm, a radius of gyration of 276 mm and a frictional torque of 120 Nm. The winding drum is driven with a speed ratio of 4 to 1 and an efficiency of 84% by an electric motor of which the rotating parts have a mass of 31 kg, a radius of gyration of 132 mm and a frictional torque of 18 Nm. Determine: 1.1. The torque exerted by the motor to give the lift an upward acceleration of 2.8 m/s2 . (17) 1.2. The maximum constant upward velocity of the lift if the motor develops a maximum power of 16 kW. 


A voltage e=250sinωt+50sin(3ωt+pi/3)+20 sin(5ωt+(5pi/6)) is applied to a series Circuit of resistance 20Ω and an inductance of 0.05H. Take ω=314rad/s

3.1 Derive an expression for the current.

Calculate the following:

3.2 The rms value of the current and voltage.

3.3 The total power supplied.

3.4 The power factor.



Find the solution of the given differential equation and then find the particular solution for which a point (x,y) is given:

dy/dx = (2-x) (x+1); (x,y) = (-1,3)
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