Mechanical Engineering Principles

192 MECHANICAL ENGINEERING PRINCIPLES Equation (17.6) shows that the acceleration along the lineyyis directly proportional to th ...

SIMPLE HARMONIC MOTION 193 But,kyo=mg, hence F=mg−mg−ky=ma Thus, ma+ky= 0 or a+ k m y= 0 i.e. SHM takes place and periodic time, ...

194 MECHANICAL ENGINEERING PRINCIPLES 3.4 m. Determine the earliest time of day that the yacht is refloated. [11h,11min,52s] A ...

SIMPLE HARMONIC MOTION 195 From equation (17.14),frequency, f= √ g L 2 π = √ 9. 81 2 2 π = 0 .352 Hz Problem 3. In order to dete ...

196 MECHANICAL ENGINEERING PRINCIPLES Figure 17.8, where the frequency of oscillation was found to be 1.26 Hz. If the mass of th ...

SIMPLE HARMONIC MOTION 197 State the relationship between frequency f and periodic timeTwhen SHM takes place. State the formula ...

18 Simple machines At the end of this chapter you should be able to: define a simple machine define force ratio, movement ratio ...

SIMPLE MACHINES 199 Dividing both numerator and denominator by Fl gives: Fl aFl+b = 1 a+ b Fl When the load is large,Flis large ...

200 MECHANICAL ENGINEERING PRINCIPLES points (x 1 ,y 1 )and(x 2 ,y 2 ) of the graph y=mx+cis given by: m= y 2 −y 1 x 2 −x 1 Thus ...

SIMPLE MACHINES 201 Effort (i) (ii) Load (b) Figure 18.1(b) Effort (iii) (ii) (i) Load (c) Figure 18.1(c) and since from equatio ...

202 MECHANICAL ENGINEERING PRINCIPLES (b) Ann-pulley system has a movement ratio of n, hence this 6-pulley system has amovement ...

SIMPLE MACHINES 203 A load of 1.7 kN is lifted by a screw-jack having a single-start screw of lead 5 mm. The effort is applied ...

204 MECHANICAL ENGINEERING PRINCIPLES This shows that the movement ratio is independent of the idler, only the direction of the ...

SIMPLE MACHINES 205 A compound gear train has a 30-tooth driver gearA, meshing with a 90-tooth follower gearB. Mounted on the s ...

206 MECHANICAL ENGINEERING PRINCIPLES then, movement ratio= force ratio efficiency × 100 = 3 100 × 100 = 3 This result shows tha ...

SIMPLE MACHINES 207 Use sketches to show what is meant by: (a) a first-order, (b) a second- order, (c) a third-order lever syst ...

208 MECHANICAL ENGINEERING PRINCIPLES (c) In a third-order lever, the effort is applied between the load and the fulcrum. (d) Th ...

SIMPLE MACHINES 209 Assignment 5 This assignment covers the material contained in chapters 15 to 18. The marks for each question ...

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Part 3 Heat transfer and fluid mechanics 19 Heat energy and transfer At the end of this chapter you should be able to: distingu ...