3. Which one of the following equations is dimensionally homogenous? Show your proof.11a. F( – x) = -mV3 – mV;b. F=mV; - -mV;2|11c. F(V, – V.) = -mx3 - -mx?22d. F(t, – 1) = mV, – mVWhere: F = force (N); x =distance (m); m = mass (kg); V = velocity (m/s); t=time (s)

a. It is given that Fx2-x1=12mV22-12mV12 where, F is force (N ) x is distnance m…

3. Which one of the following equations is dimensionally homogenous? Show your proof. a. F(x, – x) = -mV3 - mV; b. F=mV} - mV; 1 1 c. F(V, – V.) = –mx - -mx? d. F(t – 1) = mV½ – mV Where: F = force (N); x =distance (m); m= mass (kg); V = velocity (m/s); t= time (s)

3. Which one of the following equations is dimensionally homogenous? Show your proof. a. F(x, – x) = -mV3 - mV; b. F=mV} - mV; 1 1 c. F(V, – V.) = –mx - -mx? d. F(t – 1) = mV½ – mV Where: F = force (N); x =distance (m); m= mass (kg); V = velocity (m/s); t= time (s)

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

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3. Which one of the following equations is dimensionally homogenous? Show your proof.
1
1
a. F( – x) = -mV3 – mV;
b. F=mV; - -mV;
2
|
1
1
c. F(V, – V.) = -mx3 - -mx?
2
2
d. F(t, – 1) = mV, – mV
Where: F = force (N); x =distance (m); m = mass (kg); V = velocity (m/s); t=time (s)

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