Two blocks with masses M and M2 are connected by a massless string that passes over a massless pulley as shown. M has a mass of 2.25 kg and is on an incline of 0 41.5° with coefficient of kinetic friction u = 0.205. M2 has a mass of 5.25 kg and is on an incline of 02 = 34.5° with coefficient M2 of kinetic friction u, = 0.105. The two-block system is in M1 motion with the block of mass M2 sliding down the ramp. Find the magnitude az of the acceleration of M, down the incline. Figure is not to scale. a2 = m/s?
Two blocks with masses M and M2 are connected by a massless string that passes over a massless pulley as shown. M has a mass of 2.25 kg and is on an incline of 0 41.5° with coefficient of kinetic friction u = 0.205. M2 has a mass of 5.25 kg and is on an incline of 02 = 34.5° with coefficient M2 of kinetic friction u, = 0.105. The two-block system is in M1 motion with the block of mass M2 sliding down the ramp. Find the magnitude az of the acceleration of M, down the incline. Figure is not to scale. a2 = m/s?
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![**Problem Statement:**
Two blocks with masses \( M_1 \) and \( M_2 \) are connected by a massless string that passes over a massless pulley as shown in the diagram.
- \( M_1 \) has a mass of 2.25 kg and is on an incline of \( \theta_1 = 41.5^\circ \) with a coefficient of kinetic friction \( \mu_1 = 0.205 \).
- \( M_2 \) has a mass of 5.25 kg and is on an incline of \( \theta_2 = 34.5^\circ \) with a coefficient of kinetic friction \( \mu_2 = 0.105 \).
The two-block system is in motion with the block of mass \( M_2 \) sliding down the ramp.
**Find the magnitude \( a_2 \) of the acceleration of \( M_2 \) down the incline.**
\[ a_2 = \, \boxed{\, \, } \text{ m/s}^2 \]
**Diagram Explanation:**
The diagram illustrates two inclined planes with the corresponding blocks on them.
- The incline on the left has block \( M_1 \) with its respective angle \( \theta_1 \) and friction coefficient \( \mu_1 \).
- The incline on the right has block \( M_2 \) with its respective angle \( \theta_2 \) and friction coefficient \( \mu_2 \).
- The blocks are connected via a string over a pulley situated at the top of the inclines.
- The figure is not drawn to scale.
The target of the exercise is to calculate the acceleration of block \( M_2 \) as it moves down its inclined plane.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F33281441-1e57-4fe7-bc2a-165fb9de3f22%2Fad97dbbe-be2e-4299-a53a-c6c98f156dc1%2F3tj9vmo_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Two blocks with masses \( M_1 \) and \( M_2 \) are connected by a massless string that passes over a massless pulley as shown in the diagram.
- \( M_1 \) has a mass of 2.25 kg and is on an incline of \( \theta_1 = 41.5^\circ \) with a coefficient of kinetic friction \( \mu_1 = 0.205 \).
- \( M_2 \) has a mass of 5.25 kg and is on an incline of \( \theta_2 = 34.5^\circ \) with a coefficient of kinetic friction \( \mu_2 = 0.105 \).
The two-block system is in motion with the block of mass \( M_2 \) sliding down the ramp.
**Find the magnitude \( a_2 \) of the acceleration of \( M_2 \) down the incline.**
\[ a_2 = \, \boxed{\, \, } \text{ m/s}^2 \]
**Diagram Explanation:**
The diagram illustrates two inclined planes with the corresponding blocks on them.
- The incline on the left has block \( M_1 \) with its respective angle \( \theta_1 \) and friction coefficient \( \mu_1 \).
- The incline on the right has block \( M_2 \) with its respective angle \( \theta_2 \) and friction coefficient \( \mu_2 \).
- The blocks are connected via a string over a pulley situated at the top of the inclines.
- The figure is not drawn to scale.
The target of the exercise is to calculate the acceleration of block \( M_2 \) as it moves down its inclined plane.
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