Q2: The body shown in figure is a rectangular box whose dimensions are L (length) B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and H (height). The dimensions at any instant (t) are: i L = √et-t²2 B = t³ + ²/1/2 H = 2cosht " 3 R = t + Int The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder dv Find the rate of change of the volume ( for this body at t = 2. dt = лR²H).

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Q2: The body shown in figure is a rectangular box whose dimensions are L (length),
B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and
H (height).
The dimensions at any instant (t) are:
i
L = √et - t², B = t³ + ²/²/2
= 2cosht
5
R = t + Int
The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder = πR²H).
dv
Find the rate of change of the volume for this body at t = 2.
dt
Transcribed Image Text:Q2: The body shown in figure is a rectangular box whose dimensions are L (length), B (width), H (height). It is hollowed by a cylinder with dimensions R (base radius) and H (height). The dimensions at any instant (t) are: i L = √et - t², B = t³ + ²/²/2 = 2cosht 5 R = t + Int The volume of the box is (Vbox = LBH) and the volume of cylinder is (Vcylinder = πR²H). dv Find the rate of change of the volume for this body at t = 2. dt
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