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Answer :
Answer:
Effort force[tex]=824.04 \sin\theta[/tex]
where [tex]\theta[/tex] is the angle of inclination of the ramp.
Explanation:
The given combined mass of a person and wheelchair is 185 lb.
In SI unit, 1 pound= 0.453592 kg
So, 185 lb=[tex]185\times0.453592[/tex] kg=84kg (approximately)
Assuming the whole mass as a point mass and denote it by M, so
M=84kg
Let the angle of inclination of the ram with the is [tex]\theta[/tex] with respect to the ground and assume that the friction offered by ram id negligible, so neglection the frictional force.
The applied effort force, F, will be minimum when applied in the direction parallel to the ramp surface as shown in the figure.
The gravitational force action on M is Mg in the downward direction.
For the mass M to be at an equilibrium condition on the ramp, the sum of the total force in any direction will be zero.
Equate the sum of all the forces in the direction parallel to the ramp to zero.
[tex]F-Mg\sin\theta=0[/tex]
[tex]\Rightarrow F=Mg \sin\theta[/tex]
[tex]\Rightarrow F=84\times 9.81\sin\theta[/tex]
[tex]\Rightarrow F=824.04\sin\theta N[/tex].
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Final answer:
To calculate the force needed to push a person in a wheelchair up a ramp, you need to multiply the combined weight by the sine of the angle of the ramp. But without the ramp's angle, we can only say the required force will be less than 185 lb.
Explanation:
The question is asking us to find out the ideal effort, or force, required to push a person in a wheelchair up a ramp. This question involves the simple physics concept of work and energy. In a perfect world without friction or any other kind of resistance, the force required to move an object up a ramp is the weight of the object times the sine of the angle the ramp makes with the horizontal ground.
However, without knowing the angle of the ramp in this problem, we can't give a quantitative answer. But we do know that the effort will be less than the weight of the person and wheelchair combined, which is 185 lb.
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