A long uniform rod of length L = 50 cm and mass M = 250 g is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in vertical position. At the instant rod is horizontal as shown in the figure, find a) Find the its angular speed b) Find the magnitude of its angular acceleration c) Find the x and y components of the acceleration of its center of mass (The moment of inertia of the rod is I rod= 1/3 ML? with respect to pivot)

A long uniform rod of length L = 50 cm and mass M = 250 g is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in vertical position. At the instant rod is horizontal as shown in the figure, find a) Find the its angular speed b) Find the magnitude of its angular acceleration c) Find the x and y components of the acceleration of its center of mass (The moment of inertia of the rod is I rod= 1/3 ML? with respect to pivot)

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Forming and Shaping

Metal forming is a category of metalworking process through which the material can be given the desired shape and size by subjecting it to plastic deformation, where the component undergoes bulk deformation process upon application of loads. Unlike the shearing and machining process, the material does not undergo up to a failure point as indicated in the stress-strain curve. Hence, the stresses induced during the forming process are greater than yield strength but less than the failure strength of the material. The process does not lead to the loss of material, so it can be said to be an economical process. During forming, the material is subjected to tensile forces, compressive forces, bending, and shearing loading conditions. The material should possess the property of ductility to undergo the forming process.

Question

A long uniform rod of length L= 50 cm and mass M = 250 g is pivoted about a
horizontal, frictionless pin through one end. The rod is released from rest in vertical
position. At the instant rod is horizontal as shown in the figure, find
a) Find the its angular speed
b) Find the magnitude of its angular acceleration
c) Find the x and y components of the acceleration of its center of mass
(The moment of inertia of the rod is I rod= 1/3 ML² with respect to pivot)
Initial position
L.
Final position
Pivot

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