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Question

Production Engineering (Manufacturing) Question on Machine Tools

The relation which is applicable for rotation of frame in fixed angle representation is:

A

Rxyz(θ3θ2θ1)=Rzyx(θ1θ2θ3)R_{xyz} (\theta_3 \theta_2 \theta_1)= R_{zyx} (\theta_1 \theta_2 \theta_3)

B

Rzyx(θ3θ2θ1)=Rxyz(θ1θ2θ3)R_{zyx} (\theta_3 \theta_2 \theta_1)= R_{xyz} (\theta_1 \theta_2 \theta_3)

C

Rxyz(θ1θ2θ3)=Rzyx(θ1θ2θ3)R_{xyz} (\theta_1 \theta_2 \theta_3)= R_{zyx} (\theta_1 \theta_2 \theta_3)

D

Rxyz(θ1θ2θ3)=Ryzx(θ1θ2θ3)R_{xyz} (\theta_1 \theta_2 \theta_3)= R_{yzx} (\theta_1 \theta_2 \theta_3)

Answer

Rxyz(θ1θ2θ3)=Rzyx(θ1θ2θ3)R_{xyz} (\theta_1 \theta_2 \theta_3)= R_{zyx} (\theta_1 \theta_2 \theta_3)

Explanation

Solution

The correct option is (C): Rxyz(θ1θ2θ3)=Rzyx(θ1θ2θ3)R_{xyz} (\theta_1 \theta_2 \theta_3)= R_{zyx} (\theta_1 \theta_2 \theta_3)