A rigid block of mass M is mounted on four elastic supports, as shown in the figure below. Asmall mass m drops from a heighth and adheres to the rigid block without rebounding, andthe spring constant of each elastic support is k. Determine the equation of motion of thesystem after the small mass strikes the block. Given the following values, if the equation ofmotion is in the form + ax = 0, determine the value of a.M = 55 kg; m = 6 kg; k=181 N/m; h = 20 cm The springs are modified, so that the equation of motion is now + 14 = 0. If x = 0 at thestatic equilibrium position when both masses are included, the initial position is given by. Hence, determine the initial velocity of the system at the point of impact,* (t = 0) = V₁ (units m/s).mg204kVo =If the resulting motion of the system after the impact is of the formr(t) = A cos wnt + B sin wnt, determine the values,A =B =wn (rad/s) =KkMmkx

Mass of the rigid block (M): M=55kgMass of the small dropped mass (m): m=6kgSpring constant of each…

A rigid block of mass M is mounted on four elastic supports, as shown in the figure below. A small mass m drops from a height hand adheres to the rigid block without rebounding, and the spring constant of each elastic support is k. Determine the equation of motion of the system after the small mass strikes the block. Given the following values, if the equation of motion is in the form + az = 0, determine the value of a. M = 55 kg; m = 6 kg; k=181 N/m; h= 20 cm

A rigid block of mass M is mounted on four elastic supports, as shown in the figure below. A small mass m drops from a height hand adheres to the rigid block without rebounding, and the spring constant of each elastic support is k. Determine the equation of motion of the system after the small mass strikes the block. Given the following values, if the equation of motion is in the form + az = 0, determine the value of a. M = 55 kg; m = 6 kg; k=181 N/m; h= 20 cm

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (5) At state 2, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (6) The elastic potential energy of the spring at the state 2 is_______(N·m) (two decimal places) (7) The instantaneous center of zero velocity (IC) of the wheel at state 1 is (8) The mass moment of inertial of the wheel about its mass center G is IG =_________(kg·m2 ) (two decimal places) (9) The mass moment of inertial of the wheel about its…
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