Tutorial 6 2020 PDF

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UNIVERSITY OF MELBOURNE BMEN30005 INTRODUCTION TO BIOMECHANICS SEMESTER 1 – 2020 TUTORIAL 6 – DYNAMICS

Question 1 The motor winds in the cable with a constant acceleration (a = 1.3 m/s2). Determine the tension developed in the cable as it pulls the 20-kg crate. The coefficient of kinetic friction between the crate and the plane is µk = 0.3.

Question 2 If the 80-kg cabinet is allowed to roll down the inclined plane, determine the acceleration of the cabinet and the normal reactions on the pair of rollers at A and B that have negligible mass.

Question 3 The uniform 60-kg thin rod is initially at rest on a smooth horizontal plane when the forces are applied. Determine the acceleration of the bar’s center of mass and the angular acceleration of the bar at this instant. The moment of inertia of a rod of length L and mass m, rotating about its center, is 𝐼 =

1 𝑚𝐿2 . 12

Question 4 The 10-kg uniform rod is at rest in a vertical position when the cord attached to it at B is subjected to a force of P = 50 N. Determine the rod’s initial angular acceleration and the reaction forces that pin A exerts on the rod. Neglect the size of the smooth peg at C. The moment of inertia of a rod of length L and mass m, rotating about its center, is 𝐼 =

Based on problems from: Hibbeler, Russell C. Engineering mechanics. Pearson education, 2001.

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