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algol [13]
3 years ago
6

A block (mass 9.0 kg) is released from rest on a frictionless slope angled at 37° to the horizontal. Draw a diagram with labelle

d vectors for forces/acceleration. What is the block's acceleration?

Physics
1 answer:
maxonik [38]3 years ago
7 0

Answer:

Force diagram is attached here.

Acceleration of the mass down the inclined plane is independent of its mass.

ma = mg sin 37

or Acceleration = a = g sin 37 = 5.9 m/s/s.

Explanation:

The object sliding down the inclined plane has several forces acting on it.

Forces are labelled here as 1, 2, 3, 4.

Force 1 = Normal force that acts at right angles to the inclined surface.

Force 2 : Parallel component of the gravitational force

                = mg sin 37.

Force 3: Mass x Acceleration due to gravity = Weight

This is the gravity force that acts perpendicular to the  

floor or ground.  

Force 4 : Perpendicular component of the gravitational force  = mg cos 37.  

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The force F⃗ pulling the string is constant; therefore the magnitude of the angular acceleration α of the wheel is constant for
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Answer:

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Help pls i need this right now
pantera1 [17]

Answer:

The x-component of F_{3} is 56.148 newtons.

Explanation:

From 1st and 2nd Newton's Law we know that a system is at rest when net acceleration is zero. Then, the vectorial sum of the three forces must be equal to zero. That is:

\vec F_{1} + \vec F_{2} + \vec F_{3} = \vec O (1)

Where:

\vec F_{1}, \vec F_{2}, \vec F_{3} - External forces exerted on the ring, measured in newtons.

\vec O - Vector zero, measured in newtons.

If we know that \vec F_{1} = (70.711,70.711)\,[N], \vec F_{2} = (-126.859, 46.173)\,[N], F_{3} = (F_{3,x},F_{3,y}) and \vec O = (0,0)\,[N], then we construct the following system of linear equations:

\Sigma F_{x} = 70.711\,N - 126.859\,N +F_{3,x} = 0\,N (2)

\Sigma F_{y} = 70.711\,N + 46.173\,N+F_{3,y} = 0\,N (3)

The solution of this system is:

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The x-component of F_{3} is 56.148 newtons.

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