Problem 13-108 | Force & Acceleration | Chapter: 13 | Kinetics of a Particle

PROBLEM 13-108
The 1.5-kg cylinder C travels along the path described by r=(0.6 Sinθ) m. If
arm OA is rotating counterclockwise with constant angular velocity of 3 rad/s,
determine the force exerted by the smooth slot in arm OA on the cylinder at the
instant θ=60°.The spring has a stiffness of 100 N/m and is unstretched when
θ=30°. The cylinder is in contact with only one edge of the slotted arm. Neglect
the size of the cylinder. Motion occurs in the vertical plane.

Welcome to Chapter 13 of "Engineering Mechanics Dynamics," where we delve into the fascinating world of particle kinetics, specifically focusing on force and acceleration. In this topic, we're tackling the intriguing "Problem 13-108," a scenario that involves a 1.5-kg cylinder C moving along the path described by r = 0.6 sin(θ) m.

📚 Book Name: Engineering Mechanics Dynamics
📝 Chapter: 13 | Kinetics of a Particle

⚙️ Topic: Force & Acceleration Problem 13-108

In this engaging problem, we encounter a dynamic situation where a 1.5-kg cylinder C navigates a path defined by r = 0.6 sin(θ) m. Complicating matters further, arm OA undergoes counterclockwise rotation at a constant angular velocity of 3 rad/s, adding a dynamic dimension to the scenario.

Our objective is clear: We are on a mission to calculate the force exerted by the smooth slot in arm OA on the cylinder at a pivotal instant—when θ is 60 degrees. This scenario involves a spring with a stiffness of 100 N/m, introducing dynamic interactions between forces and motion. With the cylinder in contact with just one edge of the slotted arm, and the unstretched spring positioned at θ = 30 degrees, the dynamics of the scenario are further enhanced.

Our exploration will encompass a comprehensive analysis of forces, accounting for the effects of rotation, spring behavior, and contact forces. Through the lens of dynamic principles, we'll decipher the intricate mechanics governing the interplay between motion, equilibrium, and forces.

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