E) VAVC
1 answer:
Answer:
b) tan a = 3
Explanation:
Draw a free body diagram (see attached).
There are three forces acting on the insect. Weight downwards, normal force towards the center of the hemisphere, and friction tangent to the surface.
Sum of the forces in the radial direction:
∑F = ma
N − mg cos α = 0
N = mg cos α
Sum of the forces in the tangential direction:
∑F = ma
μN − mg sin α = 0
Substituting:
μ(mg cos α) − mg sin α = 0
μ cos α − sin α = 0
μ cos α = sin α
μ = tan α
The maximum possible value of the angle is such that its tangent is equal to the coefficient of friction.
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Answer:
IMA of given system =
Explanation:
- The "Ideal Mechanical advantage" (IMA) of given pulley is
.
- Ideal Mechanical advantage of a system is defined by the ratio of achieved or output force to the implied force. In the pulley system above, output force is the resistant force denoted by
. The input force is analogous or equivalent to the effort applied i.e.
.
- Hence by dividing these two forces we calculate the IMA of the above mentioned pulley system which is
- Its mathematical reference would be:
IMA =