fet), forceforce, f 10Newt.m2fk,10secm, = 10 kg, ma= 20 kg , b= 20 Newtonm/seck, = 30Newtonkz = 60 Newtonz, and z are measured with respeet to eguilibriumconditions and all imitial conditions arezero,1) Write the Newton's second Lau for m, amd m22) Derive a statespace represrentation of theconditions :eystemfallowing2a) only z, is measured26) only z, is measured2c) (2,-z,) is measured.un der3) Derive the following transfor fumetionefG)z,(5)GoG,6) ?G6) ?4) Describe a mechanical device that can be usedto implement the external force fee)as shoun'a bove.5) Using (Csim) function of MATLAB, plot z,(t),2, (t)- =, (+)]Zz (t) and

Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

frt), force force, f 10 Neut. m, m2 f k, 1osee m, = 10 kg, ma= 20 kg bz 20 Newton m/sec k, = 30 Newton 2, and z are measured with respect to equilibrium k = 60 Newton conditions and all imitial conditions are zero, and m2 1) Write the Newton's second lau for m, 2) Derive a state space represerntation of the system under following conditions: 2a) only z, is measured 26) only z, is measured 2e) (2,-z,) is measured. 3) Derive the following transfer fumetions feel fG) z,(5) G) G,6) ? GG) ?

frt), force force, f 10 Neut. m, m2 f k, 1osee m, = 10 kg, ma= 20 kg bz 20 Newton m/sec k, = 30 Newton 2, and z are measured with respect to equilibrium k = 60 Newton conditions and all imitial conditions are zero, and m2 1) Write the Newton's second lau for m, 2) Derive a state space represerntation of the system under following conditions: 2a) only z, is measured 26) only z, is measured 2e) (2,-z,) is measured. 3) Derive the following transfer fumetions feel fG) z,(5) G) G,6) ? GG) ?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Similar questions

Suppose we know little about the strength of materials butare told that the bending stress σ in a beam is proportionalto the beam half-thickness y and also depends on thebending moment M and the beam area moment of inertiaI . We also learn that, for the particular case M = 2900in ∙ lbf, y = 1.5 in, and I = 0.4 in4 , the predicted stressis 75 MPa. Using this information and dimensional reasoningonly, find, to three significant figures, the onlypossible dimensionally homogeneous formula σ=y f ( M , I ).
The variation of fluid pressure with height is described by the differential equation: dp/dz = - density *g Here, p is specific density and g is the local acceleration of gravity. For an ideal gas, p = M PIRT, where M is molar mass and R is the universal gas constant. Modeling the atmosphere as an isothermal column of ideal gas at 283.15 K (lO°C), estimate the ambient pressure in Denver, where z = l(mi1e) relative to sea level. For air, take M = 29 g molP1; values of R are given in App. A.
Taylor number (Ta) is used here to describe the ratio between the inertia effect andthe viscous effect. By applying Buckingham Pi’s Theorem, determine an equation forTa as a function of the radius of inner cylinder (r), cylinder tangential velocity (v),fluid dynamic viscosity (μ), gap distance (L) and fluid density (ρ).
A U-tube mercury manometer is used to measure the pressure at a pointon the wing of a wind-tunnel model. One side of the manometer isconnected to the model, and the other side is open to the atmosphere.Atmospheric pressure and the density of liquid mercury are1.01 × 105 N/m2 and 1.36 × 104 kg/m3, respectively. When thedisplacement of the two columns of mercury is 20 cm, with the highcolumn on the model side, what is the pressure on the wing?
A 45 grams (0.045 kg) golf ball of diameter equal to 43 mm fell into a 2m deep lake. Neglect inertia at the moment of impact. Assume viscosity of 1.12x10-3 Ns/m2 , water density of 1,000 kg/m3 and Cd=0.5. Sphere volume equals 4π r³ /3. 1. How long will it take from the moment it hits the surface until it gets to the bottom? 2. If one estimates the Cd with Cd=24/Re formula, the settling velocity would be unrealistically large. Why?
Convection heat transfer data are often reported as a heattransfer coefficient h , defined byQ= hA ∆Twhere Q= heat flow, J/sA = surface area, m 2∆ T = temperature difference, KThe dimensionless form of h , called the Stanton number, isa combination of h , fluid density ρ , specific heat c p , andfl ow velocity V . Derive the Stanton number if it is proportionalto h . What are the units of h ?
A ship of 7500 tonnes displacement has KM 8.6 m, KG 7.8 m and 20 m beam. A quantity of deck cargo is lost from the starboard side (KG 12 m, and centre of gravity 6 m in from the rail). If the resulting list is 3 degrees 20 minutes to port, find how much deck cargo was lost.
Show complete solution and 3 decimal places for the final answer. Asap thanks! A truck carrying fully-filled water container that is 2.5m long, 2.5m wide, and 2m high. The entire mass is 3000kg encountered an unbalanced force of 15kN. Estimate the acceleration in m/s^2.
The heat transfer coefficient is a nondimensional parameter which is a function of viscosity ? , specific heat cp (kJ/kg·K), and thermal conductivity k (W/m·K). This nondimensional parameter is expressed as (a) cp/? k (b) k/? cp (c) ? /cpk (d ) ? cp/k (e) cpk/?
I just need help simplifying these equations (1 and 2). Qo,Kic, and CL are all their own variables (not 2 multiplied ie. Q*o, k*i*c and not C*L)
The only possible dimensionless group that combines velocityV , body size L , fl uid density ρ , and surface tensioncoeffi cient σ is( a ) L ρσ / V , ( b ) ρ VL 2 / σ , ( c ) ρσ V 2 / L , ( d ) σ LV 2 / ρ ,( e ) ρ LV 2 / σ
A turbine model has the following characteristics: Effective power: 13, 6 kW; Rotor Diameter: 0.38 meters, Flow: 0.34 ms, Energy Jump: 26.5 J / Kg and 3 R.P.S. rotation It is desired to construct a geometrically similar 1.20 meter diameter turbine that provides a power on the 656 kW axis, we ask: to calculate and justify its answers: a) the specific rotation; b) the unit quantities (rotation, flow and power); c) the rotation, flow and power of the model (bi-unit quantities).