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Definition of Torque Statics and Dynamics of a rigid object

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1 Definition of Torque Statics and Dynamics of a rigid object
Chapter 10 – part B Definition of Torque Statics and Dynamics of a rigid object Angular Momentum

2 Rotational Dynamics Newtonian Kinetic Energy Physics relations
[10.29] [10.27] The motion q(t) Angular speed Definition of Ang. Acceler. [10.3/5] [10.15] Definition of Torque Definitions [10.19] [10.28] If t is constant Definition of Moment of Inertia [10.16]

3 Dynamics of Rigid Objects
Newtonian Kinetic Energy Physics relations [8.39] [10.27] [10.42] Definitions [10.28] Definition of Center of Mass [8.32] Each force contribute once, either in WR or in W

4 Main idea for each section

5 Exercise 10.21 21. Find the net torque on the wheel in Figure about the axle through O, taking a = 10.0 cm and b = 25.0 cm.

6 Exercise 10.23

7 Exercise 10.27 27. A uniform beam of mass mb and length ℓ supports blocks with masses m1 and m2 at two positions as shown in Figure. The beam rests on two knife edges. For what value of x will the beam be balanced at P such that the normal force at O is zero?

8 Exercise 10.32 32. A crane of mass kg supports a load of kg as shown in Figure. The crane is pivoted with a frictionless pin at A and rests against a smooth support at B. Find the reaction forces at A and B.

9 Exercise 10.32 37. Two blocks, as shown in Figure, are connected by a string of negligible mass passing over a pulley of radius m and moment of inertia I. The block on the frictionless incline is moving up with a constant acceleration of 2.00 m/s2. (a) Determine T1 and T2, the tensions in the two parts of the string. (b) Find the moment of inertia of the pulley.


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