Engineering Mechanics

(^428) „„„„„ A Textbook of Engineering Mechanics We know that the horizontal distance between the point of projection and the ma ...

Chapter 20 : Projectiles „„„„„ 429 ∴Total time taken by the projectile to reach the ground from the edge of the cliff = t 1 + t ...

(^430) „„„„„ A Textbook of Engineering Mechanics and horizontal component of the initial velocity of the bullet = u cos α = 100 ...

Chapter 20 : Projectiles „„„„„ 431 Example 20.15. Find the least initial velocity which a projectile may have, so that it may cl ...

(^432) „„„„„ A Textbook of Engineering Mechanics Fig. 20.12. Time when the shots meet after they leave the guns Let the two shot ...

Chapter 20 : Projectiles „„„„„ 433 EXERCISE 20.2 A bullet is fired at an angle of 45° with the horizontal with a velocity of 27 ...

(^434) „„„„„ A Textbook of Engineering Mechanics Squaring the equations (i) and (ii) and adding the same, v^2 sin^2 θ + v^2 cos^ ...

Chapter 20 : Projectiles „„„„„ 435 Distance OP First of all, consider the horizontal motion of the particle. We know that the ho ...

(^436) „„„„„ A Textbook of Engineering Mechanics Example 20.20. A particle is projected upwards with a velocity of 100 m/s at an ...

Chapter 20 : Projectiles „„„„„ 437 We know that the vertical component of initial velocity =u sin α and vertical component of th ...

(^438) „„„„„ A Textbook of Engineering Mechanics Example 20.22. The velocity of a particle, at its greatest height is 25 / times ...

Chapter 20 : Projectiles „„„„„ 439 Let u= Initial velocity of projection, α= Angle of projection with the horizontal. β= Inclina ...

(^440) „„„„„ A Textbook of Engineering Mechanics Time of flight when the ball is projected downwards. We also know that time of ...

Chapter 20 : Projectiles „„„„„ 441 Now for maximum range, substituting the value of αin equation (i), 2 max 2 sin 2 42 – – sin c ...

(^442) „„„„„ A Textbook of Engineering Mechanics Range of the projectile We know that range of the projectile, [] 2 cos^2 sin (2 ...

Chapter 20 : Projectiles „„„„„ 443 R 2 [] 2 2 (200) sin (2 30 22.6 ) sin 22.6 9.8 cos 22.6 =×°+°+° ° 2 [] 40 000 sin 82.6 sin 22 ...

(^444) „„„„„ A Textbook of Engineering Mechanics The horizontal range of a projectile is (a) usin 2 g α (b) u^2 sin 2 g α (c) ...

Chapter 21 : Motion of Rotation „„„„„ 445 445 Contents Introduction. Important Terms. Motion of Rotation Under Constant Angular ...

(^446) „„„„„ A Textbook of Engineering Mechanics 21.2. IMPORTANT TERMS The following terms, which will be frequently used in thi ...

Chapter 21 : Motion of Rotation „„„„„ 447 21.4.RELATION BETWEEN LINEAR MOTION AND ANGULAR MOTION Following are the relations bet ...