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Assignment 6

Principle of Conservation of Dynamical Energy Problem 1: A bead with a mass of 0.25 𝑘𝑔 is released from rest at 𝐴 and slides down and round the fixed smooth wire. Determine the magnitude of the force between the wire and the bead as it passes point 𝐵. Answer: |𝑁|  14.42 𝑁

Problem 2: A person who weighs 122 𝑙𝑏𝑠 drops from a height of 20 𝑓𝑡 onto a trampoline having an equivalent spring constant of 𝑘  40

 

.

a) Will the trampoline bottom out (i.e., will the person contact the ground?) b) If so, how high should the supports be made to avoid bottoming out? Answer: a) yes; b)ℎ  3.19 𝑓𝑡

Principle of Linear Impulse and Momentum Problem 3: Crates A and B weigh 100 𝑙𝑏 and 50 𝑙𝑏, respectively. If they start from rest, determine their speed when 𝑡  5 𝑠. Also, find the force exerted by crate A on crate B during the motion. The coefficient of kinetic friction between the crates and the ground is 𝜇   0.25. Dynamics, Hibbeler, Problem 15.7 Answer: 𝑠𝑝𝑒𝑒𝑑  13.4

 

; |𝐹 |  16.7 𝑙𝑏

ENGG 349 – Dynamics, Fall 2019

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Assignment 6

Problem 4: A truck is hauling a 300-kg log out of a ditch using a winch attached to the back of the truck. Knowing the winch applies a constant force of 2500 𝑁 and the coefficient of kinetic friction between the ground and the log is 0.45, determine the time for the log to reach a speed of 0.5

 

.

Dynamics, Beer, Problem 13.122 Answer: 𝑡𝑖𝑚𝑒  0.6025 𝑠

Problem 5: The 10-kg block is held at rest on the smooth inclined plane by the stop block at 𝐴. The 10gram bullet is traveling at 300

 

and becomes embedded in the 10-kg block. Determine the distance the

block will slide up along the plane before momentarily stopping. Dynamics, Hibbeler, Problem 15-49 Answer: 𝑑𝑖𝑠𝑡𝑎𝑛𝑐𝑒 𝑡𝑎𝑟𝑣𝑙𝑒𝑑 𝑜𝑛 𝑡ℎ𝑒 𝑖𝑛𝑐𝑙𝑖𝑛𝑒  6.87 𝑚𝑚

ENGG 349 – Dynamics, Fall 2019

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