Assuming the shaft to be freely supported. Calculate the whirling speed of the shaft : 2 cm diameter and 60 cm long carrying a mass of 1 kg at its mid-point. The density of the shaft material is 40 Mg/m^3, and Young’s modulus is 200 GN/m^2.

← Prev Question Next Question →

1 Answer

Related questions

+1 vote

1 answer

A cantilever shaft having 50 mm diameter and length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Calculate the natural longitudinal frequency in Hz.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^3. Determine the static deflection of the shaft in mm.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A cantilever shaft having 50 mm diameter and a length of 300 mm has a disc of mass 100 kg at its free end. The Young’s modulus for the shaft material is 200 GN/m^2. Determine the frequency of transverse vibrations of the shaft.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A cantilever shaft has a diameter of 6 cm and the length is 40cm, it has a disc of mass 125 kg at its free end. The Young’s modulus for the shaft material is 250 GN/m². Calculate the static deflection in nm.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A flywheel is mounted on a vertical shaft. The both ends of a shaft are fixed and its diameter is 50 mm. The flywheel has a mass of 500 kg, the modulus of rigidity for the shaft material is 80 GN/m^2 and its radius of gyration is 0.5 m. Find the natural frequency of torsional vibrations.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A shaft supported in ball bearings is assumed to be a simply supported.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

In a gearing system, pump speed is one third of the motor. Shaft from motor is 6 cm in diameter and 30cm long, the impellar shaft is 10cm diameter and 60cm long. Mass moment of inertia is 1500 Kg-m^2, C = 80Gn/m^2. Neglecting the inertia of shaft and gears calculate the frequency of free torsional vibrations in Hz.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

The speed at which the shaft runs so that the additional deflection from the axis of rotation of the shaft becomes infinite, is known as _________

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A single cylinder oil engine works with a three rotor system, the shaft length is 2.5m and 70mm in diameter, the middle rotor is at a distance 1.5m from one end. Calculate the free torsional vibration frequency for a two node system in Hz if the mass moment of inertia of rotors in Kg-m^2 are: 0.15, 0.3 and 0.09. C=84 kN/mm^2

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A single cylinder oil engine works with a three rotor system, the shaft length is 2.5m and 70mm in diameter, the middle rotor is at a distance 1.5m from one end. Calculate the free torsional vibration frequency for a single node system in Hz if the mass moment of inertia of rotors in Kg-m^2 are: 0.15, 0.3 and 0.09. C=84 kN/mm^2

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

When the centre of gravity of the rotor lies between the centre line of the shaft and the centre line of the bearing, e is taken positive.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

In a punching press, the requirement is to punch 40 mm diameter holes in a plate having a thickness of 15 mm. The rate at which the holes should be punched is 30 holes/min. Energy requirement is of 6 N-m per mm2 of sheared area. If the punching takes time 1/10 of a second and the speed of the flywheel varies from 160 to 140 rpm, determine the mass of the flywheel having radius of gyration of 1 m.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+2 votes

1 answer

A rectangular pontoon is 5 m long, 3 m wide and 1.40 m high. The depth of immersion of the pontoon is 0.60 m in seawater. If the centre of gravity is 0.7 m above the bottom of the pontoon, determine the metacentric height. The density for seawater = 1045 kg/m^3.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

+1 vote

1 answer

The crank-pin circle radius of a horizontal engine is 300 mm. The mass of the reciprocating parts is 250 kg. When the crank has travelled 30° from T.D.C., the difference between the driving and the back pressures is 0.45 N/mm^2. The connecting rod length between centres is 1.2 m and the cylinder bore is 0.5 m. If the engine runs at 250 r.p.m. and if the effect of piston rod diameter is neglected, calculate the net load on piston.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+2 votes

1 answer

A mower has drive wheel of 60 cm diameter. The crank of the mower makes 600 rev/min when it is driven by a tractor, moving at a speed of 2.3 km/hr. If the speed ratio between the crank wheel and land wheel is changed to 27:1, calculate the increase in speed of mower to maintain same speed of crank.

asked Jan 29, 2022 in Farm Machinery by Olivia (38.9k points)

+1 vote

1 answer

Let the disturbing mass be 200 kg and the radius of rotation be 20 cm and the rotation speed be 50 rad/s, then calculate the centripetal force in kN.

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A load of 2 kg resulted an elongation of 1mm in a wire of 3 m length with 1 mm diameter. What will be the Young’s modulus of wire?

asked Jan 29, 2022 in Farm Machinery by Olivia (38.9k points)

+1 vote

1 answer

A disc spinning on its axis at 20 rad/s will undergo precession when a torque 100 N-m is applied about an axis normal to it at an angular speed, if mass moment of inertia of the disc is the 1 kg-m^2

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

The critical speed of a shaft with a disc supported in between is equal to the natural frequency of the system in

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

An Internal combustion engine has a connecting rod of mass 2 kg and the distance between the centre of crank and centre of gudgeon pin is 25 cm. The Center of Gravity lies at a point 10 cm from the gudgeon pin along the line of centres. The radius of gyration of this system about an axis through the Center of Gravity perpendicular to the plane of rotation is 11 cm. If two masses are used instead of the connecting rod, one at the gudgeon pin and other at the crank pin, if the angular acceleration of the rod is 23 000 rad/s^2, then find the correction couple in N-m.

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

For a certain engine having an average speed of 1200 rpm, a flywheel approximated as a solid disc, is required for keeping the fluctuation of speed within 2% about the average speed. The fluctuation of kinetic energy per cycle is found to be 2 kJ. What is the least possible mass of the flywheel if its diameter is not to exceed 1 m ?

asked Sep 22, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

Calculate the pressure of air at a height of 3500m from sea level where pressure and temperature of air are 10 N/cm^2 and 25℃ respectively. The temperature lapse rate is given as 0.0065 ℃ /m. Take density of air at sea level equal to 1.2 kg/m^3.

asked Jan 30, 2022 in Fluid Mechanics by Charlotte (118k points)

+1 vote

1 answer

A V-twin engine has the cylinder axes at 90 degrees and the connecting rods operate a common crank. The reciprocating mass per cylinder is 23 kg and the crank radius is 7.5 cm. The length of the connecting rod is 0.3 m. If the engine is rotating at the speed is 500 r.p.m. What is the value of maximum resultant secondary force in Newtons?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A V-twin engine has the cylinder axes at 90 degrees and the connecting rods operate a common crank. The reciprocating mass per cylinder is 11.5 kg and the crank radius is 7.5 cm. The length of the connecting rod is 0.3 m. If the engine is rotating at the speed is 500 r.p.m. What is the value of maximum resultant secondary force in Newtons?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

+1 vote

1 answer

A V-twin engine has the cylinder axes at 90 degrees and the connecting rods operate a common crank. The reciprocating mass per cylinder is 34.5 kg and the crank radius is 7.5 cm. The length of the connecting rod is 0.3 m. If the engine is rotating at the speed is 500 r.p.m. What is the value of maximum resultant secondary force in kN?

asked Sep 23, 2022 in Machine Dynamics by Grayson (34.3k points)

...