Mechanical Engineering - Engineering Mechanics - Discussion
Discussion Forum : Engineering Mechanics - Section 1 (Q.No. 22)
22.
In the shown figure, if the angle of inclination of the plane is increased, then acceleration of the system will
Discussion:
32 comments Page 4 of 4.
Vinay BEL said:
5 years ago
As we know that a = g*(m2-m1 sin(α)/(m2+m1).
As alpha value will increase putting the value of α in numerator the value of acceleration will decrease.
As alpha value will increase putting the value of α in numerator the value of acceleration will decrease.
Sarang. said:
5 years ago
Let consider;
m1 = 1,
m2 = 2,
Now, from,
a = g(m1-m2 sin(α))/(m1+m2), remember if difference between masses is + then downward and - upward, right.
Let, angle α = 45°
9.81*(1-2)*(sin45)/3 = -2.31 m/s2
Let, angle α = 50° (increasing the angle of inclination)
9.81*(1-2)*(sin50)/3 = -2.50 m/s2.
So, it INCREASES with upward OR downward acc.
If you assume m1=2 and m2=1 value comes the same but downwards as +ve. So the answer should be A Increase.
m1 = 1,
m2 = 2,
Now, from,
a = g(m1-m2 sin(α))/(m1+m2), remember if difference between masses is + then downward and - upward, right.
Let, angle α = 45°
9.81*(1-2)*(sin45)/3 = -2.31 m/s2
Let, angle α = 50° (increasing the angle of inclination)
9.81*(1-2)*(sin50)/3 = -2.50 m/s2.
So, it INCREASES with upward OR downward acc.
If you assume m1=2 and m2=1 value comes the same but downwards as +ve. So the answer should be A Increase.
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