A particle, which remains at rest, is acted on by three forces R, S and T. The force R has magnitude 32 N and is directed vertically downwards. The force S is directed to the left and up at 55◦ to the horizontal. The force T is directed to the right and up at 42◦ to the horizontal. Take the unit vector i to point horizontally to the right and the unit vector j to point vertically upwards as attached. Express the forces in component form, in terms of unknown magnitudes where appropriate. Find the magnitude of S in newtons to two significant figures.
Gravitational force
In nature, every object is attracted by every other object. This phenomenon is called gravity. The force associated with gravity is called gravitational force. The gravitational force is the weakest force that exists in nature. The gravitational force is always attractive.
Acceleration Due to Gravity
In fundamental physics, gravity or gravitational force is the universal attractive force acting between all the matters that exist or exhibit. It is the weakest known force. Therefore no internal changes in an object occurs due to this force. On the other hand, it has control over the trajectories of bodies in the solar system and in the universe due to its vast scope and universal action. The free fall of objects on Earth and the motions of celestial bodies, according to Newton, are both determined by the same force. It was Newton who put forward that the moon is held by a strong attractive force exerted by the Earth which makes it revolve in a straight line. He was sure that this force is similar to the downward force which Earth exerts on all the objects on it.
A particle, which remains at rest, is acted on by three forces R, S and T. The force R has magnitude 32 N and is directed vertically downwards. The force S is directed to the left and up at 55◦ to the horizontal. The force T is directed to the right and up at 42◦ to the horizontal. Take the unit vector i to point horizontally to the right and the unit vector j to point vertically upwards as attached.
Express the forces in component form, in terms of unknown magnitudes where appropriate. Find the magnitude of S in newtons to two significant figures.
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