in the figure below the two blocks are connected by a string of negligible mass passing over a frictionless pulley. m₁ = 10.0 kg and m₂ = 6.70 kg and the angle of the incline is 0 = 39.0°. Assume that the incline is smooth. (Assume the +x direction is down he incline of the plane.) m₁ m₂ (a) With what acceleration (in m/s2) does the mass m₂ move on the incline surface? Indicate the direction with the sign of you answer. m/s² (b) What is the tension in the string in newtons? N (c) For what value of m, (in kg) will the system be in equilibrium? kg
in the figure below the two blocks are connected by a string of negligible mass passing over a frictionless pulley. m₁ = 10.0 kg and m₂ = 6.70 kg and the angle of the incline is 0 = 39.0°. Assume that the incline is smooth. (Assume the +x direction is down he incline of the plane.) m₁ m₂ (a) With what acceleration (in m/s2) does the mass m₂ move on the incline surface? Indicate the direction with the sign of you answer. m/s² (b) What is the tension in the string in newtons? N (c) For what value of m, (in kg) will the system be in equilibrium? kg
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Chapter1: Units, Trigonometry. And Vectors
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![### Physics Problem Involving Incline and Pulley
In the figure, two blocks are connected by a string of negligible mass passing over a frictionless pulley: \(m_1 = 10.0 \, \text{kg}\) and \(m_2 = 6.70 \, \text{kg}\). The angle of the incline is \(\theta = 39.0^\circ\). Assume that the incline is smooth. The positive x-direction is down the incline of the plane.
#### Diagram Explanation:
- A block with mass \(m_1\) is hanging vertically.
- A second block with mass \(m_2\) is placed on a smooth inclined plane.
- The two blocks are connected by a string looping over a frictionless pulley.
#### Questions:
(a) **Acceleration of \(m_2\):**
- Determine the acceleration in \(\text{m/s}^2\) of mass \(m_2\) as it moves on the incline surface.
- Indicate the direction with the sign of your answer.
\[ \text{Acceleration:} \, \boxed{\phantom{0000}} \, \text{m/s}^2 \]
(b) **Tension in the String:**
- Calculate the tension in the string in newtons.
\[ \text{Tension:} \, \boxed{\phantom{0000}} \, \text{N} \]
(c) **Equilibrium Condition for \(m_1\):**
- Find the value of \(m_1\) (in kg) that will result in equilibrium of the system.
\[ m_1 \, \text{(in kg):} \, \boxed{\phantom{0000}} \, \text{kg} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30f79184-3047-455a-b3d8-f2ad47623cdf%2F7ce76508-a7ca-4728-95c2-9529a55201ed%2Fl1dx68w_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Physics Problem Involving Incline and Pulley
In the figure, two blocks are connected by a string of negligible mass passing over a frictionless pulley: \(m_1 = 10.0 \, \text{kg}\) and \(m_2 = 6.70 \, \text{kg}\). The angle of the incline is \(\theta = 39.0^\circ\). Assume that the incline is smooth. The positive x-direction is down the incline of the plane.
#### Diagram Explanation:
- A block with mass \(m_1\) is hanging vertically.
- A second block with mass \(m_2\) is placed on a smooth inclined plane.
- The two blocks are connected by a string looping over a frictionless pulley.
#### Questions:
(a) **Acceleration of \(m_2\):**
- Determine the acceleration in \(\text{m/s}^2\) of mass \(m_2\) as it moves on the incline surface.
- Indicate the direction with the sign of your answer.
\[ \text{Acceleration:} \, \boxed{\phantom{0000}} \, \text{m/s}^2 \]
(b) **Tension in the String:**
- Calculate the tension in the string in newtons.
\[ \text{Tension:} \, \boxed{\phantom{0000}} \, \text{N} \]
(c) **Equilibrium Condition for \(m_1\):**
- Find the value of \(m_1\) (in kg) that will result in equilibrium of the system.
\[ m_1 \, \text{(in kg):} \, \boxed{\phantom{0000}} \, \text{kg} \]
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