Question

Consider a problem in which a car of mass m is on a road tilted at an angle θ. the normal force

Answer 1

The first thing you must do to find the normal force is to know that it is always perpendicular to the surface.
 The weight always points down.
 Making a free body diagram in vertical direction we have that the normal force is:
 N = m * g * cosθ
 answer:
 the normal force is:
 N = m * g * cosθ

Answer 2

The required normal force acting on the body will be F = mgcosθ

How to determine the normal force to a plane

Given the car with mass "m", the force acting on the car will be expressd as:

• F = mass * acceleration due to gravity
• F = mg

If a car of mass m is on a road tilted at an angle θ, the normal force will be perpendicular to the car and will be expressed as:

N = Fcosθ

Since F = mg, hence N = mgcosθ

Hence the required normal force acting on the body will be F = mgcosθ

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