How Do You Calculate the Second Displacement in Vector Problems?

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SUMMARY

The discussion focuses on calculating the second displacement in a vector problem involving a mop's movement. The first displacement is 167 cm at an angle of 161 degrees, while the resultant displacement is 168 cm at an angle of 37.6 degrees. The magnitude of the second displacement is determined to be 294 cm. The discussion emphasizes the need to calculate both the x and y components of the displacements to solve for the second displacement accurately.

PREREQUISITES
  • Understanding of vector addition and displacement
  • Knowledge of trigonometric functions for calculating components
  • Familiarity with angles in standard position
  • Ability to perform calculations involving degrees and vector components
NEXT STEPS
  • Learn how to calculate vector components using sine and cosine functions
  • Study the concept of resultant vectors and how to derive them
  • Explore vector subtraction techniques to find unknown displacements
  • Investigate the use of graphical methods for vector addition and subtraction
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This discussion is beneficial for students studying physics or mathematics, particularly those focusing on vector analysis and displacement problems. It is also useful for educators teaching these concepts in a classroom setting.

Flashtf
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Help me please! sos

A man pushing a mop across a floor causes the mop to undergo two displacements. The first has a magnitude of 167cm and makes an angle 161 degrees with the positive x- axis. The resultant displacement has a magnitude of 168 cm and is directed at an angle of 37.6 degrees to the positive x- axis.

Find the magnitude of the second diplacement?
Find the direction of the second displacement with respect to the positive x-axis.( Consider counterclockwise to be positiveand answer within the limits of -180 degrees to180 degrees)
Now I have attempted this numerous times from many different views but have failed miserably. I enetered in as the online homework an got it wrong all 7 times only to find out that the answer is 294. Could someone please help me figure out how to solve this so that i may continue to the next problem, because it is a play on this one.
 
Physics news on Phys.org
What is the x-component and y-component of displacement 1?

What is the x-component and y-component of net displacement?

x-componnet of displacement 1 + x-component of displacement 2 = x-component of net displacement

y-componnet of displacement 1 + y-component of displacement 2 = y-component of net displacement
 

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