Answered: 1. A cylinder with a mass 0.281 kg is…

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 cylinder with a mass 0.281 kg is sliding downwards through a vertically positioned pipe. A thin
oil layer exists between the cylinder and the pipe's internal surface. Centerline of the cylinder and
the pipe overlap. (yoil =8044.2 N /m3; Voil=6-10-6 m²/s). Find the change in the speed of cylinder in
1.
the pipe with respect to its unit displacement and the shear stress that acts upon the oillayer.
A
L = 1.10 mm
V
W
73.8 mm
74 mm
0.1 mm
Figure 1

Transcribed Image Text:2. Athin 30cm x 30cm flat plate is pulled at 4.81 m/s horizontally through a 3.9 mm thick oil layer sandwiched between two plates, one stationary and the other moving at a constant velocity of 1 m/s, as shown in the Figure 2. The dynamic viscosity of the oil is 0.027 Pa.s (N.s/m²). Assuming the velocity in each oil layer to vary linearly, a. plot the velocity profile and find the location where the oil velocity is zero, b. determine the force that needs to be applied on the plate to maintain this motion. Fixed wall h = 1.2 mm 1 V = 4.81 m/s F h. = 2.7 mm V = 1 m/s Moving wall Figure 2

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