5. Determine the transfer function of G(s) = 01(s)/T₁(s) and 02(s)/T₁ for the mechanical system shown in Figure Q5. (Hints: assume zero initial condition) T₁(t) 01(t) 102(1) Ол N1 D1 D2 No. 1790220000 N2 Figure Q5 K2

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a) Find the transfer function F₁(s) = 01(s)/T(s) of the rotational system. Consider the initial conditions equal to zero. Goth G browse, T(t) B J₁ B. , B3 = 05 B₂ = K₁ Where [k₁, k₂] spring constant, [B₂] coefficients of viscous friction, [B₂, B3] are coefficients of dry friction, U₁] moment of inertia, [0₁] angular position, T(t) torque or mechanical torque of entrance. 1₁=kg m², B₁ = 3 ms 10 rad consider a unit step input, that is, T(s) = 1/s b) Find the answer at time 0₁ (t) of the previous system with the following values: Nm 1 Nms 2 rad Nms 1 rad , K₂ = 45 rad' Ba Nm rad my E K₂ ,K₁₂ = 1;

A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): A. Use Laplace transform of the differential equation to determine the transfer function of the system.

02(s). T(s) Find the transfer function G(s) Tt) 1 N-m/rad 1 N-m/rad I kg-m? 1 N-m-s/rad 1 N-m-s/rad Figure: Rotational mechanical system.

Q5: 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)

A velocity of a vehicle is required to be controlled and maintained constant even if there are disturbances because of wind, or road surface variations. The forces that are applied on the vehicle are the engine force (u), damping/resistive force (b*v) that opposing the motion, and inertial force (m*a). A simplified model is shown in the free body diagram below. From the free body diagram, the ordinary differential equation of the vehicle is: m * dv(t)/ dt + bv(t) = u (t) Where: v (m/s) is the velocity of the vehicle, b [Ns/m] is the damping coefficient, m [kg] is the vehicle mass, u [N] is the engine force. Question: Assume that the vehicle initially starts from zero velocity and zero acceleration. Then, (Note that the velocity (v) is the output and the force (w) is the input to the system): 1. What is the order of this system?

Rotational Mechanical System: Find the transfer function for each rotational mechanicalnetwork shown below

Please solve the following question. Note that the second picture is the solution of the question from the book, I just want to know the steps to reach it.