Question

Two blocks are connected by a light string that passes over a massive frictionless pulley (I = 0.5 MR^2) as shown in the figure. Block MA rests on the inclined frictionless surface while MB rests on a horizontal rough surface with coefficient of friction ?k with the block MB. The incline makes an angle q with the horizontal. • If the two blocks are released from rest, draw the free-body diagrams for the two blocks and the massive pulley. (Choose the direction of rotation of the pulley and assume MA is pulling down) [12] • Write the force and torque equations using your free-body diagram. [7] • Determine the linear acceleration of the system. (Symbolic answer required and it should contain only variables) [4] • If, Mpulley = 1.0 kg, Rpulley = 10.0 cm, MA = 8.5 kg, MB = 3.5 kg, ?k = 0.37 and incline makes an angle of 37° with the horizontal, determine the magnitude of linear acceleration of the blocks and angular acceleration for the pulley. [5]

          Two blocks are connected by a light string that passes over a massive frictionless pulley (I = 0.5 MR^2) as shown in the figure. Block MA rests on the inclined frictionless surface while MB rests on a horizontal rough surface with coefficient of friction ?k with the block MB. The incline makes an angle q with the horizontal.

• If the two blocks are released from rest, draw the free-body diagrams for the two blocks and the massive pulley. (Choose the direction of rotation of the pulley and assume MA is pulling down)
[12]

• Write the force and torque equations using your free-body diagram. [7]

• Determine the linear acceleration of the system. (Symbolic answer required and it should contain only variables)
[4]

• If, Mpulley = 1.0 kg, Rpulley = 10.0 cm, MA = 8.5 kg, MB = 3.5 kg, ?k = 0.37 and incline makes an angle of 37° with the horizontal, determine the magnitude of linear acceleration of the blocks and angular acceleration for the pulley.
[5]

Show more…

Two blocks are connected by a light string that passes over a massive frictionless pulley (I = 0.5 MR^2) as shown in the figure. Block MA rests on the inclined frictionless surface while MB rests on a horizontal rough surface with coefficient of friction ?k with the block MB. The incline makes an angle q with the horizontal.

• If the two blocks are released from rest, draw the free-body diagrams for the two blocks and the massive pulley. (Choose the direction of rotation of the pulley and assume MA is pulling down)
[12]

• Write the force and torque equations using your free-body diagram. [7]

• Determine the linear acceleration of the system. (Symbolic answer required and it should contain only variables)
[4]

• If, Mpulley = 1.0 kg, Rpulley = 10.0 cm, MA = 8.5 kg, MB = 3.5 kg, ?k = 0.37 and incline makes an angle of 37° with the horizontal, determine the magnitude of linear acceleration of the blocks and angular acceleration for the pulley.
[5]

Added by Travis C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Sri K

03/19/2023

Step 1

Draw the free-body diagrams for the two blocks and the massive pulley. For block MA: - Gravitational force: $F_{gA} = MA \cdot g$ - Normal force: $F_{NA}$ - Tension force: $T$ For block MB: - Gravitational force: $F_{gB} = MB \cdot g$ - Normal force: $F_{NB}$ - Show more…

Show all steps

lock

Thanks for your feedback!

Two blocks are connected by a light string that passes over a massive frictionless pulley (I = 0.5 MR^2) as shown in the figure. Block MA rests on the inclined frictionless surface while MB rests on a horizontal rough surface with coefficient of friction μk with the block MB. The incline makes an angle q with the horizontal. • If the two blocks are released from rest, draw the free-body diagrams for the two blocks and the massive pulley. (Choose the direction of rotation of the pulley and assume MA is pulling down) [12] • Write the force and torque equations using your free-body diagram. [7] • Determine the linear acceleration of the system. (Symbolic answer required and it should contain only variables) [4] • If, Mpulley = 1.0 kg, Rpulley = 10.0 cm, MA = 8.5 kg, MB = 3.5 kg, μk = 0.37 and incline makes an angle of 37° with the horizontal, determine the magnitude of linear acceleration of the blocks and angular acceleration for the pulley. [5]

Play audio

Feedback

Powered by NumerAI

Sri K and 85 other subject Physics 101 Mechanics educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Recommended Videos

Recommended Textbooks

Transcript

00:01 In this question, we are given the following figure with masses ma and mb which are joined to a pulley.

00:08 So first let us take a look at all the forces acting on mass mb.

00:12 So first we have gravitational force mbg acting downwards and the normal force acting upwards and here we have frictional force fb acting.

00:24 Next tension t2 from the pulley and this gives an opposite tension t2 as well as well as so here we have t1 and t1 acting on each side.

00:36 For mass ma we have mag acting here, mag.

00:44 Here we are taking an angle of q and a normal force acting upwards.

00:53 Also on the pulley we have mass mpg that is mass of pulley acting on the pulley.

01:00 So now using this we can write the force equations.

01:04 For b we have the force equations tension t2 minus frictional force denoted by f is equal to mb a also we have in the vertical direction normal force nb is equal to mass of mb into g so for the pulley we have the torque equation for pulley we have talk equation r times t1 minus r t2 is equal to i alpha.

01:39 Force equation for a will be m .ag sine q, m .a .g, sine q.

01:46 Since q is the angle here, so we are going to take vertical and horizontal components since a is inclined.

01:52 So, minus t1 will be equal to n .a of a.

01:56 And here we have normal n .a is equal to m .a .g.

02:01 Cos g or cos q...

Ace is your personal tutor. It breaks down any question with clear steps so you can learn.

Start Using Ace

Continue solving this problem

Create a free account to:

View full step-by-step solution
Ask follow-up questions with Ace AI
Save progress and study later