Question

Two blocks are arranged as shown below. They are connected by an ideal cord that passes over a frictionless pulley. The inclination of the ramp is 30 degrees from the horizontal. Mass $m_1$ slides along the incline, and $m_2$ is free to move vertically. The coefficient of kinetic friction between the incline and $m_1$ is 0.180. $m_1 = 2.6$ kg; and $m_2 = 2.2$ kg. (a) Draw free-body diagrams of the forces on both masses. (b) Determine equations of motion for each mass. (c) Determine the magnitude of the acceleration of $m_2$. (Hint: Assume that $m_2$ moves down.)

Name: two blocks are arranged as shown below they are connected by an ideal cord that passes over a frictionless pulley the inclination of the ramp is 30 degrees from the horizontal mass m1 slide 09447
Uploaded: 2022-04-29T07:33:32-08:00
Duration: 4 min 31 s
Channel: Sri K
Description: two blocks are arranged as shown below they are connected by an ideal cord that passes over a frictionless pulley the inclination of the ramp is 30 degrees from the horizontal mass m1 slide 09447

          Two blocks are arranged as shown below. They are connected by an ideal cord that passes over a frictionless pulley. The inclination of the ramp is 30 degrees from the horizontal. Mass $m_1$ slides along the incline, and $m_2$ is free to move vertically. The coefficient of kinetic friction between the incline and $m_1$ is 0.180. $m_1 = 2.6$ kg; and $m_2 = 2.2$ kg.

(a) Draw free-body diagrams of the forces on both masses.
(b) Determine equations of motion for each mass.
(c) Determine the magnitude of the acceleration of $m_2$.
(Hint: Assume that $m_2$ moves down.)

two blocks are arranged as shown below they are connected by an ideal cord that passes over a frictionless pulley the inclination of the ramp is 30 degrees from the horizontal mass m1 slide 09447

Added by Christina F.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

04/29/2022

Step 1

For $m_1$: Forces acting on $m_1$ are: \begin{itemize} \item $m_1g$: Gravitational force acting vertically downwards. \item $N$: Normal force acting perpendicular to the incline. \item $T$: Tension force acting upwards along the incline. \item Show more…

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Two blocks are arranged as shown below. They are connected by an ideal cord that passes over a frictionless pulley. The inclination of the ramp is 30 degrees from the horizontal. Mass $m_1$ slides along the incline, and $m_2$ is free to move vertically. The coefficient of kinetic friction between the incline and $m_1$ is 0.180. $m_1 = 2.6$ kg; and $m_2 = 2.2$ kg. (a) Draw free-body diagrams of the forces on both masses. (b) Determine equations of motion for each mass. (c) Determine the magnitude of the acceleration of $m_2$. (Hint: Assume that $m_2$ moves down.)