The magnitude of contact force is given by
Answers
Answer:
Hey
Explanation:
This force, FN, is simply the object's mass times the acceleration due to gravity times the sine of the angle between the direction of motion and the vertical gravity vector g, which has a value of 9.8 m/s2......
Step 1: Determine the Frictional Force
This force is equal to the coefficient of friction μ between the object and the surface multiplied by the object's weight, which is its mass multiplied by gravity. Thus Ff = μmg. Find the value of μ by looking it up in an online chart such as the one at Engineer's Edge. Note: Sometimes you will need to use the coefficient of kinetic friction and at other times you will need to know the coefficient of static friction.
Assume for this problem that Ff = 5 Newtons.
Step 2: Determine the Normal Force
This force, FN, is simply the object's mass times the acceleration due to gravity times the sine of the angle between the direction of motion and the vertical gravity vector g, which has a value of 9.8 m/s2. For this problem, assume that the object is moving horizontally, so the angle between the direction of motion and gravity is 90 degrees, which has a sine of 1. Thus FN = mg for present purposes. (If the object were sliding down a ramp oriented at 30 degrees to the horizontal, the normal force would be mg × sin (90 - 30) = mg × sin 60 = mg × 0.866.)
For this problem, assume a mass of 10 kg. FN is therefore 10 kg × 9.8 m/s2 = 98 Newtons.
Step 3: Apply the Pythagorean Theorem to Determine the Magnitude of the Overall Contact Force
If you picture the normal force FN acting downward and the frictional force Ff acting horizontally, the vector sum is the hypotenuse the completes a right triangle joining these force vectors. Its magnitude is thus:
(FN2 + Ff2)(1/2) ,
which for this problem is
(152 + 982) (1/2)
= (225 + 9,604)(1/2)
= 99.14 N.
Hope it helps you
Answer:
This force, FN, is simply the object's mass times the acceleration due to gravity times the sine of the angle between the direction of motion and the vertical gravity vector g, which has a value of 9.8 m/s2.
Explanation:
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