Question

question 1 please

Question B1 (this part is made of three short questions) (Topics assessed: EOM of a 1DOF rotational system, damped harmonic motion experimental data evaluation and analysis, modelling) 1. A uniform rod of mass m = 1 kg and length 1 = 0.25 m (Figure QB1.1) is supported by a pin joint at A and a spring with stiffness k = 300 N/m at B. The mass moment of inertia of the rod about point A is: ml 1.3 The beam is given a small rotation and vibrates freely. Assume the angular rotation (6) about point A, is small and that the positive direction is clockwise. B Figure QB1.1 a. Write the force in the spring at B as a function of angular displacement e. [4 marks] b. Write the equation of motion for small vibrations about point A [6 marks) 2) In Figure QB1.2 are represented the free vibration responses of two mass- spring-damper systems. The two systems have the same mass and the same spring. Which one of the two systems (system 1 - dashed line or system 2 - continuous line) has a higher damping ratio? Justify your answer. Page 7 of 16

Answer 1

Given! Soof undanbed feele eystem Analysis Ja= me? 3 m=1kg l= 0.25m k=300 Nim B A SÙ speung be is het the uroveched cardition lehen the uod is horizontal. @ Now a small angee fering argue of Lorition 8, the spring compresses by elisa = 0.25 sine, = 4x for small angles, in and Ax = 0.2870 force is spring at B eis fures of o u fs=kAx fsa 300 (0-250) 15 o for et TO FBO of rod, kas.

Comments

0.51.81 + @ 8000.0 COM : =0. OSE:81 + 280700 ولا \* 0;262 by RQLQ.0 :r (uva)- cow L -605 poumoron top afstenes, Newton law word

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