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Submission: On April 14 via api from SG — Scanned from SG
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1. Engineering
2. Mechanical Engineering
3. Mechanical Engineering questions and answers
4. (a) Fig. 1 shows a rack and pinion system that is attached to two springs
and a damper. Forthis system, its output will be the displacement of the
rack (x). The spring constants, dampercoefficient, mass of the rack as well
as the moment of inertia and radius of the pinion aregiven in Fig. 1. A
motor torque is applied on the pinion (τ) and there is a
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* QUESTION: (A) FIG. 1 SHOWS A RACK AND PINION SYSTEM THAT IS ATTACHED TO TWO
SPRINGS AND A DAMPER. FORTHIS SYSTEM, ITS OUTPUT WILL BE THE DISPLACEMENT OF
THE RACK (X). THE SPRING CONSTANTS, DAMPERCOEFFICIENT, MASS OF THE RACK AS
WELL AS THE MOMENT OF INERTIA AND RADIUS OF THE PINION AREGIVEN IN FIG. 1. A
MOTOR TORQUE IS APPLIED ON THE PINION (Τ) AND THERE IS A
(a) Fig. 1 shows a rack and pinion system that is attached to two springs
and a damper. For
this system, its output will be the displacement of the rack (x). The spring
constants, damper
coefficient, mass of the rack as well as the moment of inertia and radius of
the pinion are
given in Fig. 1. A motor torque is applied on the pinion (τ) and there is a
constant force
acting on the rack (f). Assuming no-slip and zero initial conditions, derive
and draw out the
block diagram components of this system.
(5 marks)
(b) The values of the variables are given as τ=5Nm and f=1N. Solve for the
general
solution of x(t).
(NOTE: We assume that the robot has zero initial conditions for the entire
question.)
(3 marks)
* There’s just one step to solve this.
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Step 1
ANALYZING A STEPPED SHAFT UNDER LOAD
This problem deals with a stepped shaft subjected to a load and ...
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