A Classical Approach of Newtonian Mechanics

8 ROTATIONAL MOTION 8.10 The physics of baseball K = τ dt. (8.77) analyze the effect of the collision with the ball on the motio ...

8 ROTATIONAL MOTION 8.10 The physics of baseball I where ∆ω is the change in angular velocity of the bat due to the collision wi ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion i.e., b = l . (8.84) 2 Moreover, the moment of inertia of ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion object can roll over such a surface with hardly any dissip ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion   centre of mass v b vt vt cylinder surface Figure 83: ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion Figure 84: A cylinder rolling down a rough incline. as the ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion parallel to the slope, yields M ̇v = M g sin θ − f, (8.95) ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion M g sin θ f = 1 + M b^2 /I . (8.100) Since the moment of i ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion × (1/2) M b^2 , and so ̇vsolid = 2 g sin θ. (8.104) 3 For ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion Given that the tire starts from rest, its angular velocity ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion π 2 so IJ = 3 × 1.2^2 3 = 1.44 kg m^2. The instantaneous a ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion The angular equation of motion of the pulley is written I ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion × an angle θ = 35◦ beneath the horizontal. What is the ang ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion Worked example 8.6: Horsepower of engine Question: A car e ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion    b v^ cylinder surface f since the perpendicular dis ...

8 ROTATIONAL MOTION 8.11 Combined translational and rotational motion 2 is satisfied. This occurs when t = b ω 0 3 μ g = 0.25 × ...

9 ANGULAR MOMENTUM 9 Angular momentum 9.1 Introduction Two physical quantities are noticeable by their absence in Table 3. Namel ...

9 ANGULAR MOMENTUM 9.2 Angular momentum of a point particle × l = r p sin (^)  p l origin r O   particle Figure 85: Angular ...

9 ANGULAR MOMENTUM 9.3 Angular momentum of an extended object X X X · X X × · × 9.3 Angular momentum of an extended object Consi ...

9 ANGULAR MOMENTUM 9.3 Angular momentum of an extended object where Ik is the moment of inertia of the object about the k axis. ...