Definition of Torque Statics and Dynamics of a rigid object

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Presentation transcript:

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

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]

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

Main idea for each section  

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.

Exercise 10.23  

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?

Exercise 10.32 32. A crane of mass 3 000 kg supports a load of 10 000 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.

Exercise 10.32 37. Two blocks, as shown in Figure, are connected by a string of negligible mass passing over a pulley of radius 0.250 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.