A disk with 10 cm radius rolls without slipping down a 30°-inclined plane. At the instant shown, the angular velocity of the disk is w = 5 rad/s, clockwise and its angular acceleration is a = 2 rad/s², clockwise. Its rightmost end is attached to rod AB (angled 45°) with the length of 21.2 cm. The other end of the rod is attached to collar B that is confined to move along the vertical. Determine the angular acceleration of the rod, the velocity and the acceleration of collar B at this instant. Include the free body diagram and step by step solution with detailed explanations. w = 5 rad/s G a=2 rad/s² r=10 cm A 45° LAB= 21.2 cm

A disk with 10 cm radius rolls without slipping down a 30°-inclined plane. At the instant shown, the angular velocity of the disk is w = 5 rad/s, clockwise and its angular acceleration is a = 2 rad/s², clockwise. Its rightmost end is attached to rod AB (angled 45°) with the length of 21.2 cm. The other end of the rod is attached to collar B that is confined to move along the vertical. Determine the angular acceleration of the rod, the velocity and the acceleration of collar B at this instant. Include the free body diagram and step by step solution with detailed explanations. w = 5 rad/s G a=2 rad/s² r=10 cm A 45° LAB= 21.2 cm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Question

A disk with 10 cm radius rolls without slipping down a 30°-inclined plane. At the
instant shown, the angular velocity of the disk is w = 5 rad/s, clockwise and its
angular acceleration is a = 2 rad/s², clockwise. Its rightmost end is attached to rod
AB (angled 45°) with the length of 21.2 cm. The other end of the rod is attached to
collar B that is confined to move along the vertical. Determine the angular
acceleration of the rod, the velocity and the acceleration of collar B at this instant.
Include the free body diagram and step by step solution with detailed
explanations.
w = 5 rad/s
G
a=2 rad/s²
r=10 cm
30°
A
45°
LAB= 21.2 cm

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