7-E) A table for sorting seeds requires a reciprocating motion with a stroke of 3.0 mm anda frequency from 10 to 100 Hz. The excitation is provided by an eccentric weight shaker.The total mass of the table and shaker is 75 kg. (a) Propose a scheme for mounting thetable. (b) Specify the spring constant, the damping coefficient, and the unbalance of theexciter; such that the resultant stroke is within 2% of desired across the frequency range;and no more than 7.0 cm of static spring deflection.

Frequency, 10 to 100 Hz Total mass of table and shaker,75 kg F=mgF=75×9.8F=735 N

Answered: 7-E) A table for sorting seeds requires…

Similar questions

3. The MacKay Bridge over Halifax Harbour is designed to sway in high wind conditions to help absorb shock. If you were to measure the sway of the bridge in an 80 km/hr wind, you would find the following results: At t = Os, the sway = +45 cm (45 cm right) At t = 14s, the sway = -45 cm (45 cm left) a) What is the period of the swaying bridge? The amplitude? b) What is the equation of the sinusoidal axis? c) Construct a table of values and graph demonstrating one full cycle of motion. d) Suppose dampers were added to reduce the sway (but not period) by 50%. Construct a new table of values and graph to demonstrate one full cycle.
6) Consider a bob attached to a vertical string. At t = 0, the bob is displaced to a new position where the string makes –8° with the vertical and is then released from rest. If the angular displacement 0(t) is written as a cosine function, then the phase constant o is:
A 364-g object is attached to a spring and executes simple harmonic motion with a period of 0.240 s. If the total energy of the system is 4.67 J, find the following. (a) the maximum speed of the object 249 Your response differs significantly from the correct answer. Rework your solution from the beginning and check each step carefully. m/s (b) the force constant of the spring N/m (c) the amplitude of the motion Need Help? Read It Watch It
Determine the natural frequency of oscillation in rad / s for small oscillations of the uniform bar of mass m = 3.5 kg and length L = 0.9 m shown in the figure when it is displaced slightly downwards by compressing the spring of elastic constant k = 15.4 N / m, and then it is released. When the bar is released it describes a simple harmonic movement.
Pls help
15-22 need solution
A 0.25 kg mass attached to a spring with a force constant of k = 64.0 N/m vibrates in simple harmonic motion with an amplitude of 3.0 cm. The magnitude of the maximum acceleration amax of the mass is %3D a) 0.56 m/s2 c) 1.12 m/s² e) 7.68 m/s? b) 0.35 m/s? d) 1.62 m/s² f) 6.48 m/s?
4) A mass weighing 20 lb stretches a spring 9 in. The mass attached to a viscous damper with damping constant 3 lb.s/ft. The mass is pushed upward, constructing the spring a distance of 2 in, and set into motion with a downward velocity of 6 in/s. Determine the position u of the mass at any time t. Use 32 ft/s^2 as the acceleration due to gravity.
10. A mass-spring system moves with simple harmonic motion along the x axis between turning points at x, = 20 cm and x= 60 cm. For parts (i) through (iii), choose from the same five possibilities. (i) At which position does the particle have the greatest magnitude of momentum? (a) 20 cm (b) 30 cm (c) 40 cm (d) some other position (e) The greatest value occurs at multiple points. (ii) At which position does the particle have greatest kinetic energy? (iii) At which position does the particle-spring system have the greatest total energy?
22) Solve this question without any mistake.
1. A 2-kg mass is suspended from an ideal linear spring with a spring constant of 500-N/m. From equilibrium, the mass is raised upward by 1-cm and then let go of. (a) What is the angular frequency of the oscillations that ensue? (b) What is the frequency of the oscillations? (c) What is the period of the oscillations? (d) What is the total energy of the mass/spring system? (e) What is the speed of the mass as it passes through the equilibrium position? Answers: (a) 15.8 rad/s (b) 2.51 Hz (c) 0.398 s (d) 0.025 J (e) 0.158 m/s
A spring-mass system with m = 50kg and k = 4000N/m shown in Figure Q3(a). If the mass is released from its equivalent position and results in simple harmonic motion (SHM), (iii) Explain on how you can reduce the natural frequency of the spring-mass system.