A machine of weight 1,000 kg. is mounted on a steel
beam of negligible weight at centre. The rotor in the machine
generates a harmonic force of 3,000 kg. at a frequency 60 rad/sec.
Assume 10% damping, calculate amplitude of motion of machine, force
transmitted to supports and phase angle. Span of beam 3m ,E – 2 x
105 Mpa and I of beam 5000 cm4.
how much time it will take to count can anyone else also help?


Feel free to ask for further clarification.
Please up-vote if you liked this solution as it will encourage me to solve more and more questions and help students.
Thank you,
Happy HomeworkLibing
A machine of weight 1,000 kg. is mounted on a steel beam of negligible weight at...
A 120 kg machine is mounted at the mid-span of a 15 m long simply connected beam of E =200 x 106 N/m2 and I = 1.53 x 10-4 m4. An experiment is run on the system during which the machine is subject to a harmonic excitation of magnitude 2000 N at a variety of excitation frequencies. The largest steady state amplitude recorded is 2.5 mm. Estimate the damping ratio of the system.
IlI. Vibration isolation taking into account the stiffness of the beam A machine subject to a single frequency harmonic excitation of the form F()Fo sin at is to be analyzed over a range of frequencies ω, < ω < ω.. The machine is mounted on a beam at a location where the of equivalent stiffness is keg. The model of a machine mounted on a damped isolator then attached to a beam of negligible mass is Fosinut xit) yit) kea...
Problem 6 (17 points) A rotating machine of mass M 125 Kg has an unbalanced mass m 0.25 Kg at a distance 08 m from the centre of rotation (The mass M includes the mass m) The operating speed is 15 Hz Suppose that this machine is mounted on an isolator as shown in the figure If the percent of mation transmitted (TR) to the body is 15 % , and the spring constant k 12 5 x 103 (a)...
machine will be......m
plz make sure while answering
11. A machine of 100 kg mass has 20 kg rotor with 0.5 mm eccentricity. The mounting springs have stiffness 85 kN/m and damping is negligible. If the operating speed is 20T rad/s and the unit is constrained to move yertically, the dynamic amplitude of the
QUESTION 27 020 The rotor of a steam turbine with mass 10.5 kg is mounted on steel shaft (E- 207 GPa). The shaft diameter is 49 mm and is 1.8 m long. The shaft is suppored at the two ends by the bearings The turbine rotor has an eccentricity of 9.0 mm and operates at T200 rpm (754.0 rad/s). Determine the natural frequency of the system in rad/s Rotor Ο 214.279 rads 50985.64 rad o 45915.49 ad/s 484424 rad/s QUESTION...
A reciprocating pump, weighing 68 kg, is mounted at the middle of a steel plate of thickness 10mm, width 500mm, and length 2500mm. clamped along two edges as shown in Fig. During operation of the pump, the plate is subjected to a harmonic force, F(t) = 220 cos (62.832t) N. if E=200 Gpa, Find the amplitude of vibration of the plate
PROBLEM: A simply supported beam is subjected to a harmonic load F(t)-Fo sin ณ at mid-span as a result of the operation of a mechanical system that rotates at a constant speed n rev/min. The beam is made from steel with an elasticity modulus E 29x103 ksi and specific weight 490 lb/ft3. The beam has a cross-sectional area A = 1.59 in, a moment of inertia 1 = 3.85 in, and an approximate viscous damping factor 0.05. The length between...
A 100 [kg] reciprocating internal combustion engine is fitted to a thin, massless beam using a vibrations damper. It is known that a machine with a rotating unbalance experiences a frequency squared harmonic excitation. The magnitude of the rotating unbalance is A = m,e = 0.3 [kg. m). 1. Calculate the nondimensional function for the state that has a steady state amplitude of 10 [mm] at a 90 [rad/s] speed. 2- Determine the frequency ratio, natural frequency, and the beams...
A man of mass 91 kg, is bungee jumping by using an elastic steel cable can be modeled as an elastic spring without damping as shown in Figure (below). The cable is stretched to a length such that vertical stretched length under static conditions is 16 mm as a SDOF system of vibration. The wind generates the vibration to excite the bridge that can be considered as harmonic motion with frequency 7 Hz and amplitude 5.0 mm. a) What is...