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 1 of 4.
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.
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.
Falesh said:
5 years ago
Whatever the case is m2>m1 or m1>m2 the answer is B acceleration decreases.
Because in whatever direction the system travels the component of gravity along the plane is mgsinA ndn it will increase as A (Angle of inclination increase).
Because in whatever direction the system travels the component of gravity along the plane is mgsinA ndn it will increase as A (Angle of inclination increase).
Basar sk said:
5 years ago
The answer of this question as mentioned is valid only when m2>m1.
(1)
Yash said:
6 years ago
If M1 is sliding down then the acceleration of the system will decrease and if M1 is sliding up then the acceleration of the system will increase.
Raju said:
6 years ago
Acceleration = dv/dt.
Vasantharaj M J said:
6 years ago
It depends upon masses of two bodies. We have to know which side mass is heavier. Then only we can get acceleration direction and further can be solved.
Anku Garg said:
6 years ago
Whatever may be the values of mass, as angle increases component of acceleration of body B will become more close to body A as difference decreases so net acceleration will decrease.
(1)
Raaja said:
6 years ago
They have not mentioned neither smooth surface nor rough one, so answer will be unpredictable.
Himanshu said:
6 years ago
T-mgsin(θ)= m1a.
So, if θ increase acceleration decreases.
So, if θ increase acceleration decreases.
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