M1 1.2 Quiz

Which of the following is a common assumption made when analyzing a simple pendulum in mechanical models?

• The string is elastic and stretches under tension.

• The mass of the string is negligible compared to the bob.

• Air resistance is significant.

• The bob is not a point mass.

When modeling a beam under load, which assumption is typically made about the material of the beam?

• The material is perfectly plastic.

• The material is homogeneous and isotropic.

• The material has variable density.

• The material is always brittle.

In the analysis of a frictionless inclined plane, which assumption is usually made?

• The surface is rough.

• The gravitational field is non-uniform.

• The plane is perfectly smooth.

• The object deforms as it moves.

Which assumption is commonly made about the forces acting on a particle in equilibrium?

• The net force is nonzero.

• The particle is accelerating.

• The sum of all forces is zero.

• Only gravitational force acts on the particle.

• The spring is always compressed.

• The spring obeys linear elasticity within the limit of proportionality.

• The spring is made of plastic.

• The spring has infinite mass.

In the analysis of projectile motion, which of the following is a standard assumption?

• Air resistance is neglected.

• The projectile changes mass during flight.

• The acceleration due to gravity varies with height.

• The projectile is self-propelled.

Which assumption is typically made about the joints in a simple truss analysis?

• Joints are rigid and do not allow rotation.

• Joints are frictionless pins allowing rotation.

• Joints are welded and fixed.

• Joints are made of rubber.

When modeling a rigid body, what is a key assumption?

• The body can deform under force.

• The body has infinite mass.

• The distance between any two points in the body remains constant.

• The body is hollow.

In the analysis of uniform circular motion, which assumption is commonly made?

• The speed of the object changes continuously.

• The radius of the circle changes with time.

• The object moves with constant speed along a fixed radius.

• The object is not subject to any force.

• The force and velocity are always perpendicular.

• The force and velocity are in the same direction.

• The force is variable and velocity is zero.

• The object is at rest.