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.
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).
HITESH said:
1 decade ago
I think it depends on that which of the mass is heavier. If mass m1 is heavier then acc. will increase on increment of angle of inclination. If mass M2 is heavier than it will DECREASE. If both the masses are same then acc. will increase.
Swanand said:
1 decade ago
In this same principal is used as that in lifting a bucket of water from any well. More the angle between ropes, lesser will be the force required to lift it. Hence less force means less acceleration of system.
Abhi said:
1 decade ago
I guess, balancing will be done as per the masses, since they are unknown, then one can not easily determine the result.
Considering them to be equal, then the value so obtained shall be dependent on angle.
Considering them to be equal, then the value so obtained shall be dependent on angle.
Abhishek Kumar said:
1 decade ago
It should be given either the two masses are equal or which one is heavier otherwise it will become impossible to say what will be the effect of increasing or decreasing the angle of inclination.
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)
Komal said:
1 decade ago
If you see the body with mass m1 is of friction and m2 isn't. When we increase the angle of inclination the acceleration of system tends to decrease because of that frictional force.
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.
Ajay said:
1 decade ago
As we know that a = g*(m2-m1 sin(alpha)/(m2+m1).
As alpha value will increase putting the value of alpha in in numerator the value of acceleration will decrease.
As alpha value will increase putting the value of alpha in in numerator the value of acceleration will decrease.
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