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

Click For Summary
The discussion focuses on calculating the frictional force acting on a 1.3 kg book on a 16° inclined plank with a friction coefficient of 0.45. The initial calculation yields a frictional force of 5.62 N using the formula F = coefficient of friction × R, but the textbook states the answer is 3.58 N. The discrepancy arises from the value of gravitational acceleration (g) used in the calculations; while 10 m/s² is common for hand calculations, using 9.8 m/s² is more accurate with a calculator. The correct formula to find the frictional force is f = μ × mg cos(θ). The conversation emphasizes the importance of using the appropriate value for g to achieve accurate results.
Shah 72
MHB
Messages
274
Reaction score
0
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
 
Mathematics news on Phys.org
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!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

Similar threads

  • · Replies 12 ·
Replies
12
Views
1K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 2 ·
Replies
2
Views
1K
  • · Replies 6 ·
Replies
6
Views
2K
  • · Replies 4 ·
Replies
4
Views
1K
  • · Replies 8 ·
Replies
8
Views
1K
Replies
5
Views
1K
  • · Replies 9 ·
Replies
9
Views
1K
  • · Replies 4 ·
Replies
4
Views
1K
Replies
2
Views
1K