Makalah Presentasi Fisika (1).docx

PHYSICS Rope Tension Group II X-US-B

By:  Alzena Yasmine Arinta Ginting  Bima Faiz Ramadhan  Ghiffari Maulana  Safiq Zaqi Sahrial  Salwa Fahira Putri Iskandar

PREFACE First of all, give thanks for God’s love and grace for us Thanks to God, we pray to the presence of God Almighty, because He has bestowed His grace in the form of opportunity and knowledge so that this paper can be completed. Our thanks also to Sir. Mulyadi and friends who have contributed by giving their ideas so that this paper can be arranged well and neatly. We hope that this paper can increase the knowledge of the readers. But apart from that, we understand that this paper is far from perfect, so we really expect constructive criticism and suggestions for the creation of further better papers.

Medan, February, 21th 2019 Group II

Acceleration Formulas and Pulley System Rope Voltage Material for Translation Dynamics One form of application of Newton's Law of motion is the pulley system. There are so many pulley system models that the equation of motion can be explained using Newton's Law. There are fixed pulley systems, free pulleys, flat pulleys, tilt pulleys and pulley systems that are a combination of fixed and free pulleys located in a flat or inclined plane. This blog has presented most articles about the similarities in the motion of objects connected to the pulley where you can find these articles on the label "pulley system". Now on this occasion, the author will try to summarize all the equations of motion in these pulley systems which include the formula for acceleration and tension force so that you can easily use the formula in solving physics problems. Note : The condition of the pulley that we will discuss in this article is the slippery pulley and the pulley mass and also the rope is ignored so that there is no moment of inertia that affects the system tension rope

 fixed pulley system

Two objects with mass m1 and m2 are hung on a fixed pulley as shown in the image above. If m2> m1 and object 1 move up and object 2 moves down with acceleration a, then the formula for acceleration and force of rope tension on this system is :

a =

T =

(m2 – m1)g m1 + m 2

2m1m2g m1 + m 2

 The pulley system remains in a slippery flat field

Two objects with mass m1 and m2 are connected to a fixed pulley where object 1 is in a slippery flat plane while object 2 is in a hanging position. If object 1 moves to the right and object 2 moves down with the same acceleration of a, then the formula for acceleration and tension force on this system is :

a =

T =

m 2g m1 + m 2

m 1m 2g m1 + m 2

 Pulley system remains in a rough flat field

Two objects having masses m1 and m2 are connected to a fixed pulley where object 1 is in a rough flat field with a coefficient of friction μ while object 2 is in a hanging position. If object 1 moves to the right and object 2 moves down with the same acceleration of a, then the formula for acceleration and tension force on this system is :

a =

T =

(m2 – μm1)g m1 + m 2

(1 + μ)m1m2g m1 + m 2

 fixed pulley system in sloping and slippery fields

Two objects with mass m1 and m2 are connected to a fixed pulley where object 1 is in a slippery slope which forms an angle of adap towards the horizontal direction while object 2 is hanging. If object 1 moves upward parallel to plane and object 2 moves downward with acceleration a, then the formula for acceleration and force of tension in the system is :

a =

T =

(m2 – m1 sin θ)g m1 + m2

(1 + sin θ)m1m2g m1 + m 2

 fixed pulley system in rough inclined plane

Two objects having mass m1 and m2 are connected to a fixed pulley where object 1 is in a rough inclined plane with a slope angle of θ and the amount of the friction coefficient is μ while object 2 is hanging. If object 1 moves upward parallel to plane and object 2 moves downward with acceleration a, then the formula for acceleration and force of tension in the system is :

a =

T =

(m2 – m1 sin θ – μm1 cos θ)g m1 + m 2

(1 + sin θ + μ cos θ)m1m2g m1 + m 2

 Fixed pulley system in two slippery inclined planes

Two objects with mass m1 and m2 are connected to a fixed pulley where object 1 is in a slippery slope with slope angle α and object 2 is in a rough inclined plane with an angle of slope β. If object 1 moves up and object 2 moves down parallel to the plane with acceleration a, then the formula for acceleration and force of tension in the system is as follows.

a =

T =

(m2 sin β – m1 sin α)g m1 + m 2

(sin α + sin β)m1m2g m1 + m 2

 Pulley system remains in two rough inclined planes

Two objects with mass m1 and m2 are connected to a fixed pulley where object 1 is in a rough inclined plane with a slope angle α and the coefficient of friction is μ1 while object 2 is in a rough inclined plane with a slope angle β and a coefficient of friction of μ1. If object 1 moves up and object 2 moves down parallel to the plane with acceleration a, then the formula for acceleration and force of tension in the system is as follows.

a =

T =

m2g(sin β – μ2 cos β) – m1g(sin α + μ1 cos α) m1 + m 2

(sin α + sin β + μ1 cos α – μ2 cos β)m1m2g m1 + m 2

 Pulley system remains in a slippery and sloping plane

Two objects with mass m1 and m2 are connected to a fixed pulley where object 1 is in a slippery flat plane while object 2 is in a slippery slope with a slope angle θ. If object 1 moves to the right and object 2 moves down parallel to the plane with acceleration a, then the formula for acceleration and force of rope tension on this system is :

a =

T =

m2g sin θ m1 + m 2

m1m2g sin θ m1 + m 2

 pulley system remains in a flat and tilted plane

Two objects with mass m1 and m2 are connected to a fixed pulley where object 1 is in a coarse plane with a friction coefficient of μ1 while object 2 is in a slippery slope with a slope angle θ and a friction coefficient of μ2. If object 1 moves to the right and object 2 moves down parallel to the plane with acceleration a, then the formula for acceleration and force of stress on this system is as follows.

a =

T =

(m2 sin θ – μ2m2 cos θ – μ1m1)g m1 + m 2

(sin θ – μ2 cos θ + μ1)m1m2g m1 + m 2