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Lesson 1 Quiz: Integration Techniques (Substitution and By Parts) and Definite Integrals

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1.
STEM Statics Problem 1: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
10√3 N
20√3 N (approximately 34.64 N)
60 N
30 N
2.
STEM Statics Problem 29: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
10√3 N
20√3 N (approximately 34.64 N)
30 N
3.
STEM Statics Problem 5: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
10√3 N
20√3 N (approximately 34.64 N)
60 N
30 N
4.
STEM Statics Problem 19: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
60 N
30 N
10√3 N
5.
STEM Statics Problem 28: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
10√3 N
60 N
20√3 N (approximately 34.64 N)
6.
STEM Statics Problem 4: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
30 N
60 N
10√3 N
7.
STEM Statics Problem 31: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
60 N
20√3 N (approximately 34.64 N)
10√3 N
8.
STEM Statics Problem 36: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
10√3 N
60 N
20√3 N (approximately 34.64 N)
9.
STEM Statics Problem 27: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
20√3 N (approximately 34.64 N)
10√3 N
30 N
10.
STEM Statics Problem 21: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
60 N
30 N
10√3 N
11.
STEM Statics Problem 39: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
10√3 N
30 N
60 N
12.
STEM Statics Problem 34: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
10√3 N
30 N
60 N
13.
STEM Statics Problem 18: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
10√3 N
30 N
60 N
14.
STEM Statics Problem 33: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
60 N
20√3 N (approximately 34.64 N)
10√3 N
15.
STEM Statics Problem 9: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
30 N
60 N
10√3 N
16.
The length of the perpendicular drawn from the origin $(0, 0, 0)$ to the plane \(3x + 4y + 12z - 26 = 0\) is:
A) 2
C) 26
D) 1
B) 13
17.
STEM Statics Problem 23: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
60 N
30 N
10√3 N
20√3 N (approximately 34.64 N)
18.
STEM Statics Problem 8: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
30 N
10√3 N
60 N
19.
STEM Statics Problem 30: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
30 N
60 N
20√3 N (approximately 34.64 N)
10√3 N
20.
STEM Statics Problem 3: A body of weight 60 N rests on a rough horizontal plane. If the coefficient of static friction μ_s = √3 / 3, what horizontal force is required to place the body on the verge of motion?
20√3 N (approximately 34.64 N)
30 N
10√3 N
60 N
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