Which Statements About Moving a Block Are True?

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SUMMARY

The discussion centers on the mechanics of moving a block with mass m on a horizontal surface with a coefficient of static friction μs. The key statements evaluated include the optimal angle θmin for applying force, the minimum force required to initiate movement, and the consistency of the angle during motion. Statement A is confirmed as true, stating that the minimum force is applied at an angle θmin = arctan μs. Statement B is also true, indicating that the minimum force necessary to start the block moving is μs mg/√(1 + μs²). Statement C is false; the angle should not remain constant once the block is in motion.

PREREQUISITES
  • Understanding of static friction and its coefficient (μs)
  • Knowledge of Newton's laws of motion
  • Familiarity with vector components in physics
  • Basic algebra for solving equations
NEXT STEPS
  • Study the derivation of the equation Fs = μs Fn for static friction
  • Learn about the dynamics of frictional forces in motion
  • Explore the concept of normal force and its role in friction
  • Investigate the effects of angle on force application in physics
USEFUL FOR

Students studying physics, particularly those focusing on mechanics and friction, as well as educators seeking to clarify concepts related to force application and motion dynamics.

sonutulsiani
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Homework Statement



A block of mass m is resting on a horizontal surface whose coefficient of static friction is μs.

http://bcs.whfreeman.com/WebPub/Physics/tiplerphysics6e_bridge/question_bank_images/fig5-65.png?2439

Which of the following statements (if any) are true?

A. If you want to apply the minimum possible force to move the block, you should apply it with the force pulling upward at an angle θmin = arctan μs.
B. The minimum force necessary to start the block moving is μs mg/ √1 + μs2.
C. Once the block starts moving, if you want to apply the least possible force to keep it moving, you should keep the angle at which you are pulling the same.

There may be more than 1 answer

Homework Equations



Fs=μs Fn

The Attempt at a Solution



No idea.
 
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Hi sonutulsiani! :smile:

Call the normal force N, and the friction force H.

Then do a vector triangle or x and y component equations for a fixed angle θ …

what do you get? :smile:
 

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