For a single degree of freedom system describe by the differential equations 10* + 200x + 810x = 0. Which type of system is it? And why?
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- The figure below shows a conducting rod sliding along a pair of conducting rails. The conducting rails have an angle of inclination of θ = 32.0 degrees. There is a resistor at the top of the ramp that connects the two conducting rails (R = 1.5 ohms). The mass of the rod is 0.43 kg. The rod starts from rest at the top of the ramp at time t = 0. The rails have negligible resistance and friction, and are separated by a distance L = 15.3 m. There is a constant, vertically directed magnetic field of magnitude B = 1.40 T. What is the rod's terminal speed?An electric train made up of two cars, each weighing50,000lb, is connected by couplings of stiffness equal to16,000lb/in., as shown in the figure below. Determine the natural frequency of the system.This question is regarding Forced Vibrations with Ordinary Differential Equations
- The drive is by V-belts from an electric motor running at 1500 r.p.m. A compressor, requiring 75000W is to run at about 500 r.p.m. The diameter of the pulley on the compressor shaft must not be greater than 1.2 meter while the centre distance between the pulleys is limited to 1.85 meter. The belt speed should not exceed 1500 m/min. Determine the number of V-belts required to transmit the power if each belt has a cross-sectional area of 3 cm2, density 1100 kg/m3 and an allowable tensile stress of 3 MPa. The groove angle of the pulley is 50°. The coefficient of friction between the belt and the pulley is 0.3. Calculate also the length required of each belt.Give definition of unreliability F(t)of a component as function of time.A solid steel shaft transmits 50 KW of power at the frequency of (50/ π) Hz. The initial torque needed in the shaft is A) 812 N-m B) 678 N-m C) 541 N-m D) 500 N-m
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- In a belt–pulley wheel system, the effective tension in the belt is 500 N and the diameter of the driver wheel is 200 mm. If the power output from the driving motor is 5 kW, the driver pulley wheel turns at: 50 rad/s 2500 rad/s 100 rad/s 0.1 rad/sThis is regarding Forced Vibrations and Ordinary Differential Equations.A man produces a power output P as he lifts a weight of 200 newtons to height H in time T. If a second person is to lift the same weight to height of 2H in time T/2 he would produce a power output of *P/4P/22P4P