Question Determine the frequency response of a pressure transducer that has a damping ratio of 0.5 and a ringing frequency (found by a step test) of 1200 Hz. KNOWN (=0.5 wd = 2π(1200 Hz) Wd = 7540 rad/s ASSUMPTIONS Second-order system behaviour FIND M() and Þ(w) Determine the frequency response of a pressure transducer that has a damping ratio of 0.5 and a ringing frequency (found by a step test) of 1200 Hz. KNOWN (=0.5 wd = 2π(1200 Hz) Wd = 7540 rad/s ASSUMPTIONS Second-order system behaviour FIND M() and Þ(w)

Determine undamped natural frequency \( \omega_{n} \) and damping ratio \( \zeta \) of the below closed-loop system, \[ G(s)=\frac{4}{s} \quad H(s)=s^{2}+1 \]

Need help on this please 2) By direct integration, find the Laplace transforms of the following signals: sin : 1 1 1/e АД 1 TI 1 (a) (b) (c)

Ball Hits Wall 1 234567 A racquet ball with mass m 0.233 kg is moving toward the wall at v 18.5 m/s and at an angle of e 26 with respect to the horizontal. The ball makes a perfectly elastic collision with the solid, frictionless wall and rebounds at the same angle with respect to the horizontal. The ball is in contact with the wall for t 0.071 s.

Calculate the fermi energy of a good conductor which has number of conduction unit electrons per volume = 5.9× 10 28 /m 3 7.06 eV 5.54 eV 11.6 eV 2.21 eV Calculate the fermi energy of a good conductor which has number of conduction unit electrons per volume = 5.9× 10 28 /m 3 7.06 eV 5.54 eV 11.6 eV 2.21 eV

Consider the quadric surface given by 314 22 – 216 x y - 48 x z + 404 y2 + 72 yz +250 22 = 3025 (a) Express this equation in the form x? Ax = 3025 where A isa symmetric matrix and x = y Enter the matrix A in the box below a ab sina 8 a 12 E aac (b) You are given that the matrix A has eigenvalues 242, 242 and 484. Hence the equation of the surface in terms of its principal exes X, Y and Z can be written as 242 x 2 +242 Y2 + 484 22 = 3025 Enter the shortest distance, in Maple syntax, from the origin to the surface in the box below. Note: Use sqrt command when necessary.

2. A 2-wire d.c. distributor, 500 m long is fed at one of its ends. The cross-sectional area of each conductor is 3-4 cm and the resistivity of copper is 1-7 uNcm. The distributor supplies 200 A at a distance of 300m from the feeding point and 100 A at the terminus. Calculate the voltage at the feeding end if the voltage at the terminus is to be 230 V. [241 V]