circular motion problem 1

circular motion problem 1

Assessment

Interactive Video

•

Physics, Science

•

University

•

Practice Problem

•

Hard

Created by

Wayground Content

FREE Resource

The video tutorial covers a simple dynamics problem involving circular motion. It begins with a problem statement asking for the normal force at the top of a hill and the minimum velocity needed for a block to leave the surface. The instructor reviews the circular motion formula and applies it to solve the problem. Part A involves calculating the normal force using a free body diagram and Newton's laws. Part B focuses on finding the minimum velocity by analyzing forces and applying mathematical conditions. The tutorial emphasizes understanding the derivation and application of formulas.

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10 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What are the two main questions addressed in the dynamics problem?

Calculating the normal force at the top of a hill and the minimum velocity for a block to lose contact.

Finding the maximum velocity of a block and the frictional force acting on it.

Determining the gravitational force and the angle of inclination of the hill.

Calculating the time taken for the block to reach the bottom of the hill.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for acceleration in circular motion as discussed in the video?

a = r * alpha in the tangential direction plus v^2 / r in the normal direction

a = v^2 / r

a = m * g

a = g * sin(theta)

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in solving any dynamics problem according to the video?

Determining the angle of inclination

Finding the mass of the object

Drawing a free body diagram

Calculating the velocity

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which forces are considered in the free body diagram at the top of the hill?

Tangential force and normal force

Centripetal force and gravitational force

Normal force and gravitational force

Gravitational force and frictional force

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the normal force at the top of the hill if the block's velocity is 3 m/s?

19.62 N

17.82 N

20.00 N

15.00 N

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What changes in the free body diagram when considering the minimum velocity at point A?

The normal force acts vertically upwards.

The normal force acts perpendicular to the path.

The gravitational force is ignored.

The tangential force is added.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the condition for the block to leave the surface at point A?

The normal force is zero.

The tangential force is maximum.

The gravitational force is zero.

The normal force is maximum.

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