Engineering Mechanics

(^628) „„„„„ A Textbook of Engineering Mechanics 31.14.KINETIC ENERGY OF ROTATION We have already discussed in Art. 30.15 that e ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 629 Fig. 31.7. Flywheel. Similarly, moment of the force for particles of mass ...

(^630) „„„„„ A Textbook of Engineering Mechanics N 2 = Minimum speed of flywheel during a cycle, ω 1 = Maximum angular velocity ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 631 We know that maximum speed of the wheel N 1 = 360 + ( 0.02 × 360) = 367.2 ...

(^632) „„„„„ A Textbook of Engineering Mechanics and mass moment of inertia, I=Mr^2 = 395 × (1)^2 = 395 kg-m^2 We know that fric ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 633 First of all, consider the motion of the body, which is coming down. We kn ...

(^634) „„„„„ A Textbook of Engineering Mechanics Example 31.6. A homogeneous solid cylinder of mass 100 kg and 1 m diameter, who ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 635 and kinetic energy of the wheel, E= (^22) (6 ) 177.7 N-m 22 II I ωπ == ... ...

(^636) „„„„„ A Textbook of Engineering Mechanics (ii) Tension of the rope Substituting the value of a in equation (iii), P – 29 ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 637 Equating equations (viii) and (ix), (P 1 – P 2 ) r=Iα (P 1 – P 2 ) r^2 =Iα ...

(^638) „„„„„ A Textbook of Engineering Mechanics Pulls on either side of the rope We know that pull in the rope with 15 kg mass, ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 639 Let P= Tension in the rope a= Linear acceleration of the train, and α= Ang ...

(^640) „„„„„ A Textbook of Engineering Mechanics Example 31.13. Two bodies A and B of masses 30 kg and 10 kg are tied to the two ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 641 Now consider the mass 10 kg, which is going upwards. We know that the forc ...

(^642) „„„„„ A Textbook of Engineering Mechanics Example 31.14. Two bodies A and B, of mass 150 kg and 75 kg respectively are su ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 643 Since the mass is moving upwards with an acceleration (a 2 ), therefore fo ...

(^644) „„„„„ A Textbook of Engineering Mechanics EXERCISE 31.2 A body of mass 20 kg is suspended by a light string wound round ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 645 Let m= Mass of the hanging body A, P= Tension in the string, M= Mass of th ...

(^646) „„„„„ A Textbook of Engineering Mechanics Now equating the couple (responsible for rolling) and torque on the body, F × r ...

Chapter 31 : Kinetics of Motion of Rotation „„„„„ 647 31.21.MOTION OF A BODY ROLLING DOWN A ROUGH INCLINED PLANE WITHOUT SLIPPIN ...