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Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60?
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Find the resultant of the two forces equal to 50N and 30 N acting at a...
Calculation of Resultant Force of Two Forces
Two forces with magnitudes 50 N and 30 N are acting at an angle of 60 degrees. To determine the resultant force of these two forces, use the following steps:
Step 1: Determine the x- and y-components of each force.
30 N force:
Step 2: Add the x- and y-components separately.
Step 3: Use the Pythagorean theorem to find the magnitude of the resultant force.
Resultant force = sqrt((40 N)^2 + (69.28 N)^2) = 80.1 N
Step 4: Use trigonometry to find the direction of the resultant force.
tan(theta) = 69.28 N / 40 N
theta = 60.2 degrees
Therefore, the resultant force of the two forces with magnitudes 50 N and 30 N acting at an angle of 60 degrees is 80.1 N at an angle of 60.2 degrees.
Two forces with magnitudes 50 N and 30 N are acting at an angle of 60 degrees. To determine the resultant force of these two forces, use the following steps:
Step 1: Determine the x- and y-components of each force.
- 50 N force:
- x-component: 50 cos(60) = 25 N
- y-component: 50 sin(60) = 43.3 N
- x-component: 50 cos(60) = 25 N
- x-component: 30 cos(60) = 15 N
- y-component: 30 sin(60) = 25.98 N
Step 2: Add the x- and y-components separately.
- x-components: 25 N + 15 N = 40 N
- y-components: 43.3 N + 25.98 N = 69.28 N
Step 3: Use the Pythagorean theorem to find the magnitude of the resultant force.
Resultant force = sqrt((40 N)^2 + (69.28 N)^2) = 80.1 N
Step 4: Use trigonometry to find the direction of the resultant force.
tan(theta) = 69.28 N / 40 N
theta = 60.2 degrees
Therefore, the resultant force of the two forces with magnitudes 50 N and 30 N acting at an angle of 60 degrees is 80.1 N at an angle of 60.2 degrees.
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Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60?
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Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60?.
Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60? for Mechanical Engineering 2024 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60? covers all topics & solutions for Mechanical Engineering 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the resultant of the two forces equal to 50N and 30 N acting at an angle of 60?.
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