The read/write head assembly arm of a computer hard disk drive (HDD) can be modeled as a rigid rotating body with inertia Ib. Its dynamics can be described with the transfer function
where X(s) is the displacement of the read/write head and F(s) is the applied force (Yan, 2003). Show that if the HDD is controlled in the configuration shown in Figure P6.11, the arm will oscillate and cannot be positioned with any precision over a HDD track. Find the oscillation frequency.
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Control Systems Engineering
- For the mechanical system shown in figure XA bi b2 Ki K2 m2 ks GET THE TRANSFER FUNCTION: X1(s)+X2(s) F2(s) 1Tarrow_forwardFrom the mechanical system with translational motion shown in figure a, Find the transfer function Y1(s)/F(s)arrow_forwardConsider the following rotational mechanical system, a. Apply the "by inspection" method in Laplace domain to write the system of equations that represents the dynamics of the system b. Solve for the output variable q1(s). Use Cramer's rule or the substitution method to solve for the output variable q1(s). c. Give the transfer function G(s) = 91(s)/T(s) 0₁ (1) T(1) J1 82(1) oför J2 oooo K₁ K2 oooo Darrow_forward
- 1. Write the mathematical equations for the mechanical rotational system given. Also find the transfer function (s)/T(s) of the given system. # (Torque applied) J₂ voooooo J₂arrow_forwardQ5: Given the rotational system shown in below, find the transfer function G(s)= 01(s)/T(s) D K2 Please help ASAP. Pls show all steps and calculations. Make sure to find theta1(s)/T(s)arrow_forwardA translational mechanical system is shown in Figure Q1. In this system, u(t) is the displacement of the cart and the input to the system. The displacement y(t) of the mass relative to the ground is the output. Q1 (a) Determine the mathematical model of the system. (b) Using the result in Q1(a), determine a transfer function of the system. Massless Cart k m Figure Q1arrow_forward
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- 3. Obtain the transfer function Y(s)/R(s) for the system represented by the block diagram shown in Figure 3. H2 k R(s) G1 G2 Y(s) y Figure 3 Figure 4arrow_forwardQuiz E Reduce the Block Diagram shown in Figure to a single transfer function, T(s) = C(s)/R(s) G3(s) R(s) C(s) G1ts) G2ts) G4(s) H(s)arrow_forwardExample 2 ; Write the mathematical equations for the mechanical system given. Also find the transfer function X₂(s)/F(s) of the given system. K 0000 M₁ X₁ B M₂ f(t)arrow_forward
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