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In this environment you will be able to study the forces on a block that is on an inclined plane. You will be able to change the amount of friction between the block and the ramp to see how friction affects the slip angle. You can also change the mass of the block and the gravitational field strength.

When you are ready to start this activity, click on the begin button.

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In this environment you will be able to study the forces on a block that is on an inclined plane. You will be able to change the amount of friction between the block and the ramp to see how friction affects the slip angle.

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a device consisting of two unequal masses connected by a string passed over a pulley, used to illustrate the laws of motion.

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a device consisting of two unequal masses connected by a string passed over a pulley, used to illustrate the laws of motion.

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Using the simulation find the resultant of the given vectors 

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Using the simulation find the resultant of the given vectors 

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Description
This is a simulation of the motion of an object on an inclined plane. The incline angle can be varied from 0 to 90 degrees. The forces acting on the object: gravity, normal force of the incline, and friction are represented as vectors. Components of the force of gravity parallel and perpendicular to the incline can also be shown. The object can be released from rest (initial velocity =0) to see if it will move on its own. Alternatively, the object can be given an initial velocity down or up the incline. The simulation will realistically show the resulting motion of the object. In the case that the object eventually comes to rest, the total time and displacement are shown. When the object is at rest (or comes to rest) static friction acts, when it is in motion there is kinetic friction acting on it opposite to the direction of its motion.

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Description This is a simulation of the motion of an object on an inclined plane. The incline angle can be varied from 0 to 90 degrees. The forces acting on the object: gravity, normal force of the incline, and friction are represented as vectors.

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This lab is a simulation of the Atwood experiment. Find the slope of the velocity-time graph to get the acceleration. Do multiple scenarios see how the acceleration of the system varies with total mass or with driving force.

When you are ready to start the experiment, click on the begin button

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This lab is a simulation of the Atwood experiment. Find the slope of the velocity-time graph to get the acceleration. Do multiple scenarios see how the acceleration of the system varies with total mass or with driving force.

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Using the Interactive

The Vecor Addition Interactive is shown in the iFrame below. There is a small hot spot in the top-left corner. Clicking/tapping the hot spot opens the Interactive in full-screen mode. Use the Escape key on a keyboard (or comparable method) to exit from full-screen mode.

There is a second hot-spot in the lower-right corner of the iFrame. Dragging this hot-spot allows you to change the size of iFrame to whatever dimensions you prefer.

Using the Interactive

This Interactive will open in a separate browser window on your device. Click the Launch Tool button to open the Interactive. Close the window to return to this page.

Our Vector Addition simulation is now available with a Concept Checker. Do the simulation. Then follow it up with the Concept Checker.

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Our Vector Addition simulation is now available with a Concept Checker. Do the simulation. Then follow it up with the Concept Checker.

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This collection of interactive simulations allow learners of Physics to explore core physics concepts by altering variables and observing the results. This section contains more than 70 simulations and the numbers continue to grow.

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Explore forces, energy and work as you push household objects up and down a ramp. Lower and raise the ramp to see how the angle of inclination affects the parallel forces acting on the file cabinet. Graphs show forces, energy and work.

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Atwood's Machine

Atwood's machine is a device where two masses, M and m, are connected by a string passing over a pulley. Assume that M > m.

What is the acceleration of the two masses?

Start with a good free-body diagram. Two, in fact, one for each mass.

Assume the pulley is frictionless and massless, which means the tension is the same everywhere in the string. We'll learn how to account for the pulley later in the course.
T ₁ = T ₂ = T

Think about what the system will do. If the system is released from rest, the heavy mass will accelerate down and the lighter one will accelerate up.

Align the coordinate systems with the acceleration. Each mass has its own coordinate system, but they must be consistent.
Take +y down for mass M.
Take +y up for mass m.

Recognize that the masses have the same acceleration, a.

Apply Newton's second law for each mass.

For mass M:

|

For mass m:

S Fy = M ay

|

S Fy = m ay

Mg - T = Ma

|

T - mg = ma

Combine the equations to eliminate T. T = mg + ma, so:

Mg - mg - ma = Ma

a (M + m) = g (M - m)

a

=

M - m

M + m

g

Check your answer by plugging in some limiting cases:

If m = M then a = 0. Makes sense - the system is balanced.

If m = 0 then a = g. M is in freefall.

If m > M then a is negative - the system goes the other way.

Numerical example: M = 210 g and m = 200 g.

a

=

10

410

g

=

0.24 m/s ²

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Atwood's Machine Atwood's machine is a device where two masses, M and m, are connected by a string passing over a pulley. Assume that M > m. What is the acceleration of the two masses? Start with a good free-body diagram. Two, in fact, one for each mass.

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Today, reaching every student can feel out of reach. With MyLab and Mastering, you can connect with students meaningfully, even from a distance.

Built for flexibility, these digital platforms let you create a course to best fit the unique needs of your curriculum and your students. Each course has a foundation of interactive course-specific content - by authors who are experts in their field - that you can tailor and assign as you see fit.

Digital tools activate learning, to more fully engage learners. And online assessments and data tell you how students are doing, as they go, so you can decide what to teach and how best to teach it.

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Learn more about the features and benefits of MyLab and Mastering.

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Today, reaching every student can feel out of reach. With MyLab and Mastering, you can connect with students meaningfully, even from a distance. Built for flexibility, these digital platforms let you create a course to best fit the unique needs of your curriculum and your students.

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The vector sum of three vectors gives zero resultant- becouse - shape where the starting point and the ending point are the same

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The vector sum of three vectors gives zero resultant- becouse - shape where the starting point and the ending point are the same