Find the (a)x, (b)y, and (c)zcomponents of the sum of the displacements and whose components in meters are cx=7.4,cy=3.8,cz=6.1;dx=4.4,dy=2.0,dz=3.3

Short Answer

Expert verified

a) x component of isc+dis12m

b) y component of isc+dis5.8m

c) z component of isc+dis2.8m

Step by step solution

01

To calculate x component in meters

c and d are the displacement vectors. The sum of these vectors gives a resultant. Here the components of the resultant are to be found.

Given are the x, y z, components of the displacements c and d respectively.

cx=7.4,cy=-3.8,cz=-6.1,dx=4.4,dy=-2.0,dy=3.3,

The resultant of sum of displacements is given by

R=c+dRx=cx+dxiRy=cy+dyiiRz=cz+dziii

Substituting the above components in equation (i), the x component of R can be written as

Rx=7.4+4.4Rx=12m

02

To calculate y component in meters

Ry=-3.8-2.0Ry=-5.8m

03

To calculate z component in meters

Rz=-6.1+3.3Rz=-2.8m

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