Question

Problem Statement: A clock pendulum (shown below) is idealized as a circular disk, of ass m and radius R, attached at the end of a rigid, massless rod having length L . D raw a complete Free Body Diagram, treating the whole pendulum as a rigid body. Using the indicated coordinate axes, basis vectors, and system parameters, determine the items below a) The vector form of the Force Balance Law (FBL). (Make sure to follow the above instructions.) b) The vector form of the Moment Balance Law (MBL) with moments taken about the frictionless pin at N. (Hint: See Appendix B for moment of inertia.) c) The vector form of the Moment Balance Law with moments taken about the pendulum mass-center, point G. (Note that G is the mass center both of the disk and of the entire pendulum, since the rod is massless.) d) Scalar equations representing the FBL, from part (a), in the i, and i, directions Determine the force the pin exerts on the pendulum rod at No, in terms of the i, basits. e) Scalar equations representing the FBL, from part (a), in the b, and b, directions. Determine the force the pin exerts on the pendulum rod at No in terms of the b, basis. 0) Scalar equations representing the MBL, from part (b), in the i, (or equivalently, the b,) direction Fiqure: Massless rod of length L Circular disk of radius R, mass m,center G)

Ideal clock pendulum(treat as a rigid body)

Answer 1

bi mass m Cente Gi fhee Body diag d) 2 Aleglectaal),. b) rngsine rmgcosc0 foru on x- diaection . F: mgsino Y: lsine

dl mS