A pulley-rope mechanism is shown in Figure 1. In order to lift the block A to a certain elevation, a force F is required to apply to the end of the cable at point B. The mass of the block A is 200 kg. The masses of pulley, D, C and E and the rope are negligible compared to the mass of block A. The friction of the pulley-rope can be neglected. D Figure 1: Pulley-rope mechanism reproduced courtesy the publisher of Hibbeler a) In two ways determine the constant force F that is required to apply to the rope at point B in order to lift block A to reach speed of 10 m/s at a displacement of 5 m upward starting from rest. 1. Use force and acceleration (Newton's second law of motion) and kinematics 2. Use work and energy principle T +ΣU₁₂ =₂ b) In two ways determine the velocity and distance of the block A and point B in time t = 4s if the applied force at point B is 90 kg. Consider the system is released from rest. 1. Use force and acceleration (Newton's second law of motion) and kinematics. 2. Use impulse and momentum principle: my₁ = [Fdt = mv₂ 4

A pulley-rope mechanism is shown in Figure 1. In order to lift the block A to a certain elevation, a force F is required to apply to the end of the cable at point B. The mass of the block A is 200 kg. The masses of pulley, D, C and E and the rope are negligible compared to the mass of block A. The friction of the pulley-rope can be neglected. D Figure 1: Pulley-rope mechanism reproduced courtesy the publisher of Hibbeler a) In two ways determine the constant force F that is required to apply to the rope at point B in order to lift block A to reach speed of 10 m/s at a displacement of 5 m upward starting from rest. 1. Use force and acceleration (Newton's second law of motion) and kinematics 2. Use work and energy principle T +ΣU₁₂ =₂ b) In two ways determine the velocity and distance of the block A and point B in time t = 4s if the applied force at point B is 90 kg. Consider the system is released from rest. 1. Use force and acceleration (Newton's second law of motion) and kinematics. 2. Use impulse and momentum principle: my₁ = [Fdt = mv₂ 4

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter4: Coplanar Equilibrium Analysis

Section: Chapter Questions

Problem 4.98P: Find the tension T in the cable when the 180-N force is applied to the pedal at E. Neglect friction...

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