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Find the magnitude and direction of the resultant if forces of 10N 12N 6N act on a particle in the direction due west S30E N30E respectively?
Sorry we can't sketch a pictorial of the question. 1). The 10N force is all in the -x direction. 2). The 12N force has a component in the +x direction = 12sin(30)
and a component in the -y direction = 12cos(30) 3). The 6N force has a component in the +x direction = 6sin(30)
and a component in the +y direction = 6cos(30) The horizontal components are: -10 + 12sin(30) + 6sin(30) = -10 + 18sin(30) = -10 + 9 = -1N The vertical components are: -12cos(30) + 6cos(30) = -6cos(30) = -(6/2)sqrt(3) = -3sqrt(3) = -5.19615N The (magnitude)2 of the resultant = (-1)2 + (3sqrt(3))2 = 1 + 27 = 28
The magnitude of the resultant = sqrt(28) = 5.2915N (rounded) The direction of the resultant = S [tan-1(1/5.19615)] W = S30W (just a little bit rounded)
What else can I help you with?
Determine the magnitude and direction of F so that the particle is in equilibrium?
To have equilibrium, the net force acting on the particle must be zero. The magnitude of force F must be equal in magnitude (but opposite in direction) to the resultant of all other forces acting on the particle. Therefore, to determine F, you need to calculate the vector sum of all other forces acting on the particle and then determine the magnitude and direction for F.
If the acceleration of a particle is constant in magnitude but not in direction what type of path the particle follow?
If the acceleration of a particle is constant in magnitude but not in direction, the particle will follow a curved path. The changing direction of the acceleration will cause the particle to continually change its velocity vector, resulting in curved motion.
Can particle with constant velocity be accelerating?
No. Velocity implies both a magnitude and a direction.No. Velocity implies both a magnitude and a direction.No. Velocity implies both a magnitude and a direction.No. Velocity implies both a magnitude and a direction.
Can the speed of the particle ever be negative if so give an example if not explain why?
No, the speed of a particle cannot be negative. Speed is a scalar quantity and is always positive, representing the magnitude of the velocity of an object. Negative values are used to represent the direction of motion in one-dimensional motion.
Path of a particle moving under influence of force fixed in magnitude and direction?
The particle would move in a circular path at a constant distance from the force's origin. This is because the force is always acting perpendicular to the particle's velocity, causing it to change direction but not speed. This results in circular motion.
Determine the magnitude and direction of F so that the particle is in equilibrium?
To have equilibrium, the net force acting on the particle must be zero. The magnitude of force F must be equal in magnitude (but opposite in direction) to the resultant of all other forces acting on the particle. Therefore, to determine F, you need to calculate the vector sum of all other forces acting on the particle and then determine the magnitude and direction for F.
Define triangle law of forces and polygon law of forces?
Three forces in equilibrium can be represented in magnitude and direction by the three sides of a triangle taken in order. If a number of forces acting simultaneously on a particle be represented in magnitude and direction by the sides of a polygon taken in order, their resultant may be represented in magnitude and direction by the closing side of the polygon taken in opposite order.
If the acceleration of a particle is constant in magnitude but not in direction what type of path the particle follow?
If the acceleration of a particle is constant in magnitude but not in direction, the particle will follow a curved path. The changing direction of the acceleration will cause the particle to continually change its velocity vector, resulting in curved motion.
Can particle with constant velocity be accelerating?
No. Velocity implies both a magnitude and a direction.No. Velocity implies both a magnitude and a direction.No. Velocity implies both a magnitude and a direction.No. Velocity implies both a magnitude and a direction.
If the acceleration of a particle is constant in magnitude but not in direction what type of path the particle follows?
You are mad 😂😂 you don't know this much easy answer 😆😆
Can the speed of the particle ever be negative if so give an example if not explain why?
No, the speed of a particle cannot be negative. Speed is a scalar quantity and is always positive, representing the magnitude of the velocity of an object. Negative values are used to represent the direction of motion in one-dimensional motion.
Path of a particle moving under influence of force fixed in magnitude and direction?
The particle would move in a circular path at a constant distance from the force's origin. This is because the force is always acting perpendicular to the particle's velocity, causing it to change direction but not speed. This results in circular motion.
What is three law motion?
Three fundamental principles which form the basis of classical, or newtonian, mechanics. They are stated as follows: First law: A particle not subjected to external forces remains at rest or moves with constant speed in a straight line. Second law: The acceleration of a particle is directly proportional to the resultant external force acting on the particle and is inversely proportional to the mass of the particle. Third law: If two particles interact, the force exerted by the first particle on the second particle (called the action force) is equal in magnitude and opposite in direction to the force exerted by the second particle on the first particle (called the reaction force).
What causes variation in velocity of a particle?
Variation in velocity of a particle can be caused by changes in the magnitude or direction of the force acting on the particle, inertia of the particle, or interactions with other particles in the system. Additionally, external factors such as friction, air resistance, and gravitational forces can also influence the velocity of a particle.
What is a magnetic field vector?
It is a way of representing the magnetic force at a point in the field. The magnitude and direction of the vector represents the strength and the direction of the magnetic force acting on a charged particle in the field.
Is it possible in straight line motion particle have 0 speed and a non-zero velocity .explain?
Sounds like a trick question. The answer is no. Speed is a scalar with magnitude only and velocity is a vector with magnitude (speed) and direction. So If traveling with velocity in a straight line it has speed..
Can a particle with constant speed be accelerating what if it has constant velocity?
Velocity is speed together with its direction.Acceleration indicates a change in velocity ... speed or direction or both.Change of direction means acceleration, even if speed is constant.Constant velocity means constant speed and direction ... zero acceleration.
