The amount of upward force each support exert on the beam is 751.33 N and 1012.67 N.
What is force?
Force can be defined as the product of mass and acceleration of a body.
To calculate the upward force exerted by the beam, we apply the principle of moment.
From the diagram attached,
Taking our moment about N₂,
- Mgd₁+mgd₂ = N₂L............ Equation 1
Where:
- M = Mass of the beam
- d₁ = mid point of the beam
- m = Mass of the student
- d₂ = Distance of the student from N₂
- N₂ = Supporrt 2
- L = Length of the beam
- g = Acceleration due to gravity.
From the question,
- M = 100 kg
- m = 80 kg
- d₁ = 1.5 m
- d₂ = 1 m
- L = 3 m
- g = 9.8 m/s²
Substitute these values into equation 1 and solve for N₂
- N₂×3 = (100×9.8×1.5)+(80×1×9.8)
- 3N₂ = 1470+784
- 3N₂ = 2254
- N₂ = 2254/3
- N₂ = 751.33 N
To calculate the First support N₁, we use the formula below.
- N₁ + N₂ = mg+Mg
- N₁ = mg+Mg-N₂
- N₁ = (80×9.8)+(100×9.8)-751.33
- N₁ = 1764-751.33
- N₁ = 1012.67 N
Hence, the upward force from each support is 751.33 N and 1012.67 N respectively.
Learn more about force here: https://brainly.com/question/25239010
#SPJ1
