What is the acceleration of m2 in a frictional pulley system?

In summary, we have two masses connected by a light string, with one mass on a horizontal surface. A force of 201.7 N is acting at an angle of 32.1 degrees on the first mass, and the coefficient of kinetic friction between the first mass and the surface is 0.185. We are asked to determine the upward acceleration of the second mass.
  • #1
qi0n
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Homework Statement



Mass m1=34.3 kg is on a horizontal surface, connected to mass m2= 5.30 kg by a light string as shown. The pulley has negligible mass and no friction. A force of 201.7 N acts on m1 at an angle of 32.1o.
The coefficient of kinetic friction between m1 and the surface is 0.185. Determine the upward acceleration of m2.

Homework Equations



F_given * cos(theta) = F_Horizontal
F_friction = mgμ_k
F_horizontal - F_friction - T = m_1 * a
T = m_2 * a + m_2 * 9.81

The Attempt at a Solution


F_horizontal - F_friction - m_2 * 9.81 = m_1 * a + m_2 * a
 
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  • #2
qi0n said:

Homework Statement



Mass m1=34.3 kg is on a horizontal surface, connected to mass m2= 5.30 kg by a light string as shown.

Nothing is shown!

ehild
 

Related to What is the acceleration of m2 in a frictional pulley system?

What is "Falling and Sliding Mass"?

"Falling and Sliding Mass" refers to the motion of an object that is affected by gravity and friction, resulting in a combination of falling and sliding movements.

What factors affect the speed of a falling and sliding mass?

The speed of a falling and sliding mass is affected by the mass of the object, the force of gravity, and the amount of friction present. Other factors such as air resistance and the surface on which the object is falling and sliding can also impact the speed.

How does the angle of incline affect the motion of a falling and sliding mass?

The angle of incline can affect the motion of a falling and sliding mass by changing the force of gravity acting on the object and altering the amount of friction present. A steeper incline will result in a faster descent, while a more gradual incline will result in a slower descent.

What is the difference between falling and sliding mass and rolling mass?

The main difference between falling and sliding mass and rolling mass is the presence of a rotational motion. A falling and sliding mass moves in a linear path, while a rolling mass also has a circular motion due to the rotation of the object.

How can the motion of a falling and sliding mass be calculated?

The motion of a falling and sliding mass can be calculated using principles of physics, such as Newton's laws of motion and the equations of motion. Factors such as the mass of the object, the force of gravity, and the amount of friction present must be taken into account when calculating the motion.

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