B-------O ////
////// | |
| |
| |
---O---
|
BWhat's the relationship between a_1 and a_2? If m1 has an acceleration of +a to the right, what must the acceleration of m2 be?Thomas_ said:However, this is not enough to cancel out all a2's / a1's. What piece am I missing here?
The same?Doc Al said:What's the relationship between a_1 and a_2? If m1 has an acceleration of +a to the right, what must the acceleration of m2 be?
I'm sorry, sure.ank_gl said:not much is clear from that picture.. mind clarifying it a lil bit??
No. If m_1 moves a distance L to the right, how far down does m_2 move? (You might find it helpful to play around with a piece of string. I'm not kidding.) You need to determine the magnitude and direction of the acceleration of m_2 in terms of the acceleration of m_1.Thomas_ said:The same?
A pulley is a simple machine that consists of a wheel with a groove around its circumference and a rope or cable that runs over the groove. It is used to change the direction of a force and can also provide mechanical advantage by reducing the amount of force needed to lift an object.
The acceleration of blocks in a pulley system can be calculated by using the formula a = (m1 - m2)/(m1 + m2) * g, where m1 and m2 are the masses of the two blocks and g is the acceleration due to gravity (9.8 m/s^2).
The acceleration in a pulley system is affected by the mass of the blocks, the tension in the rope, and the friction between the pulley and the rope. The angle of the rope and the shape and weight of the pulley can also have an impact on the acceleration.
The number of pulleys in a system does not affect the acceleration. However, using more pulleys can reduce the amount of force needed to lift an object by increasing the mechanical advantage of the system. This can also decrease the acceleration due to the increased distance the rope has to travel.
Yes, pulley systems are commonly used in various industries such as construction, transportation, and manufacturing. They are also used in everyday objects like elevators, cranes, and even exercise machines. Understanding the acceleration in pulley systems can help optimize their design and efficiency.