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.

← Prev Question Next Question →

1 Answer

Related questions

+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 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 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

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.

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 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

A uniform disc of diameter 300 mm and of mass 5 kg is mounted on one end of an arm of length 600 mm. The other end of the arm is free to rotate in a universal bearing. If the disc rotates about the arm with a speed of 300 r.p.m. clockwise, looking from the front, with what speed will it precess about the vertical axis?

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

+1 vote

1 answer

Calculate the static deflection in µm of transverse vibrations if the frequency is 200Hz.

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

+1 vote

1 answer

Calculate the natural frequency of transverse vibrations if the static deflection is 0.01mm.

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

+1 vote

1 answer

For the same dimensions of the shaft which of the following has the greater natural frequency?

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

+1 vote

1 answer

A Proell governor has equal arms of length 300 mm. The upper and lower ends of the arms are pivoted on the axis of the governor. The extension arms of the lower links are each 80 mm long and parallel to the axis when the radii of rotation of the balls are 150 mm and 200 mm. The mass of each ball is 10 kg and the mass of the central load is 100 kg. Determine the range of speed of the governor.

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

+1 vote

1 answer

A Porter governor has equal arms each of length 250 mm and pivoted on the axis of rotation. Each ball has a mass of 5 kg and the central load has a mass on the sleeve of 25 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Considering friction at the sleeve of 10N, find the power of the governor in N-m

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

+1 vote

1 answer

A Porter governor has equal arms each of length 250 mm and pivoted on the axis of rotation. Each ball has a mass of 5 kg and the central load has a mass on the sleeve of 25 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Neglecting friction at the sleeve, find the power of the governor in N-m.

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

+1 vote

1 answer

An aeroplane makes a complete half circle of 50 metres radius, towards left, when flying at 200 km per hr. The rotary engine and the propeller of the plane has a mass of 400 kg and a radius of gyration of 0.3 m. The engine rotates at 2400 r.p.m. clockwise when viewed from the rear. Find the gyroscopic couple on the aircraft.

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

+1 vote

1 answer

Increasing mass will result in lower frequency.

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

+1 vote

1 answer

A Porter governor has equal arms each of length 250 mm and pivoted on the axis of rotation. Each ball has a mass of 5 kg and the central load has a mass on the sleeve of 25 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Considering friction at the sleeve of 10N, find the range of speed in rpm.

asked Sep 22, 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 Porter governor has equal arms each of length 250 mm and pivoted on the axis of rotation. Each ball has a mass of 5 kg and the central load has a mass on the sleeve of 25 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Neglecting friction at the sleeve, find the governor effort.

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

+1 vote

1 answer

A Porter governor has equal arms each of length 250 mm and pivoted on the axis of rotation. Each ball has a mass of 5 kg and the central load has a mass on the sleeve of 25 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Neglecting friction at the sleeve, find the sleeve lift.

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

+1 vote

1 answer

A Porter governor has equal arms each of length 250 mm and pivoted on the axis of rotation. Each ball has a mass of 5 kg and the central load has a mass on the sleeve of 25 kg. The radius of rotation of the ball is 150 mm when the governor begins to lift and 200 mm when the governor is at maximum speed. Considering friction at the sleeve of 10N, find the governor effort.

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

+1 vote

1 answer

A flat blade turbine having six blades is centrally installed in a vertical tank. The tank is 6 ft (1.83 m) in diameter; the turbine is 2 ft. (0.61 m) in diameter and is positioned 2 ft (0.61 m) from the bottom of the tank. The turbine blades are 5 in. (127 mm) wide. The tank is filled to a depth of 6 ft (1.83 m) with a solution of 50 percent caustic soda, at 150°F (65.6°C), which has a viscosity of 12 cP and a density of 93.5 lb/ft^3 (1498 kg/m^3). The turbine is operated at 90 r/min. the tank is baffled. What power will be required to operate the mixer? (Given KL=403680).

asked Feb 2, 2022 in Food Processing Unit Operations by Ava (110k 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)

+1 vote

1 answer

A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is

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

...