Friction Force: 1.3 kg Book on 16° Plank - Find the Answer!

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SUMMARY

The discussion focuses on calculating the frictional force acting on a 1.3 kg book resting on a 16° inclined plank with a coefficient of friction of 0.45. The correct formula to use is F = μ × R, where R is the normal force calculated as mg cos(θ). The calculated frictional force using g = 10 m/s² yields 5.62 N, while the textbook answer of 3.58 N is derived using g = 9.8 m/s². This discrepancy highlights the importance of using the correct gravitational constant in calculations.

PREREQUISITES
  • Understanding of basic physics concepts such as friction and inclined planes
  • Familiarity with the formula for calculating frictional force
  • Knowledge of gravitational acceleration values (g = 9.8 m/s² vs. g = 10 m/s²)
  • Ability to perform trigonometric calculations involving angles
NEXT STEPS
  • Study the derivation of the frictional force formula F = μ × mg cos(θ)
  • Learn about the effects of different gravitational constants on physics calculations
  • Explore the concept of normal force in various inclined scenarios
  • Investigate real-world applications of friction in engineering and physics
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This discussion is beneficial for physics students, educators, and anyone interested in understanding the principles of friction and inclined planes in mechanics.

Shah 72
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A book of mass 1.3 kg is on a plank of wood which is held at 16 degree to the horizontal. The coefficient of friction between the book and the plank is 0.45.
Find the size of the frictional force.
Iam getting the ans by using the formula F= coefficient of friction ×R
5.62N but the textbook ans is 3.58N.
Pls help
 
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using 10 for g ...

$f = \mu \cdot mg\cos{\theta} = 5.62 \, N$

an aside ... since you're using a calculator anyway, why not use 9.8 for g? g = 10 is normally used when calculations are done by hand.
 
skeeter said:
using 10 for g ...

$f = \mu \cdot mg\cos{\theta} = 5.62 \, N$

an aside ... since you're using a calculator anyway, why not use 9.8 for g? g = 10 is normally used when calculations are done by hand.
Thank you!
 

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