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clear handwriting , no typing , show all work please! e.g.24 A vibrating system is analyzed...
clear handwriting , no typing , show all work please! e.g.25 A mass of 5 kg is suspended on a spring and set oscillating. It is observed that the amplitude reduces to 5% of its initial value after 2 oscillations. It takes 0.5 seconds to do them. Calculate the following: i. The damping ratio. ii. The natural frequency. iii. The actual frequency. iv. The spring stiffness. v. The critical damping coefficient. vi. The actual damping coefficient.
clear handwriting , no typing , show all work please! e.g.23 An electric motor of 10 kg is suffering from vibration due to unbalance of 0.01 kg. m2. The stiffness coefficient of the isolator is k = 105 N/m. It is required to choose a value of 3 from the following table such that minimum Ft to the floor is required and the maximum amplitude of vibration for the motor mass is 0.001 m. S = 0.1, 0.3, 0.5, 0.7,0.8...
No typing, show all steps and clear handwriting! e.g.22 A compressor of 25 kg is mounted on isolator as shown in the figure. The isolator is idealized by a spring and a damper of damping ration { = 0.3. It is found that the compressor suffers from vibration due to unbalance of 0.001 sin50t. Also, it is found that all the maximum impressed force is transmitted to the floor. What will be the TR and the maximum Ft to the...
clear handwriting , no typing , show all work please! An electric motor is mounted by means of gears on a mid span of a shaft rested between two bearings as shown in the figure. It is found that the motor suffers from vibration due to unbalance of 0.1 kg.m. The clearance between the armature and the stator is 1 mm. Design the diameter of the shaft such that when the motor vibrates the armature wont touch the stator at...
clear handwriting , no typing , show all work please! A cast iron flywheel used for a four stroke I.C. engine is developing 187.5 kW at 250 r.p.m. The hoop stress developed in the flywheel is 5.2 MPa. The total fluctuation of speed is to be limited to 3% of the mean speed. If the work done during the power stroke is 1/3 times more than the average workdone during the whole cycle, find: 1. mean diameter of the flywheel,...
clear handwriting , no typing , show all work please! A steam engine runs at 150 r.p.m. Its turning moment diagram gave the following area measurements in mm? taken in order above and below the mean torque line: 500,- 250, 270, – 390, 190, – 340, 270, - 250 The scale for the turning moment is 1 mm 500 N-m, and for crank angle is 1mm = 5º. The fluctuation of speed is not to exceed + 1.5% of the...
clear handwriting , no typing , show all work please! The turning moment diagram for the engine is drawn to the following scales: Turning moment, 1 mm = 1000 N-m and crank angle, 1 mm = 6º. The areas above and below the mean turning moment line taken in order are : 530, 330, 380, 470, 180, 360, 350 and 280 mm2. The mean speed of the engine is 150 r.p.m. and the total fluctuation of speed must not exceed...
Please show all work with clear handwriting et Solve the differential equation by variation of parameters. y" – 2y' + y = 1+x2
Please show all work with clear handwriting Find the general solution of the given linear 1st order differential equation x?y' + x(x + 2)y = ex
Please show all work with clear handwriting a) Compute the Wrornskian of the set {e* cos 3x, ex sin 3x} b. Show that {ex cos 3x, ex sin 3x} form a fundamental solution set for y" – 2y' +10y = 0 on the interval (-00,00) and write the general solution