Hanging help: A block of mass m1 = 4.00 kg on a frictionless inclined plane - Help.com



This post left anonymously

A block of mass m1 = 4.00 kg on a frictionless inclined

plane of angle 30.0° is connected by a cord over a massless, frictionless pulley to a second block of mass m2 = 2.60 kg hanging vertically.

a) What is the magnitude of the acceleration of each block?

? m/s2 (m1)

?m/s2 (m2)

(c) What is the tension in the cord?
?N

This open post was written 5 years, 5 months ago | V/U/S: 4,144, 3, 4 | Edit Post | Leave a reply | Report Post


Reciprocity (0) Reciprocation Failure -- The poster has NOT helped anyone else yet!

Since writing this post Anonymous may have helped people, but has not within the last 4 days.

Post Tags (12)

Hanging, Angle, Mass, Acceleration, Pulley, connection, inclined plane, Magnitude, block, Plane, Dynamics, 2D (How Tags Affect Reciprocity)

Replies (3)

Where were you?

Click and drag to move the map around. FAQ: How we place people on this map »
You can also watch events on Help.com as they happen
Mouse over the map for 2 seconds to see an expanded, interactive view

spencersays offline Verified User (6 years, 1 month) Long Term User Shouts: 1 #
An Unknown Location | 5 years, 5 months ago (4 minutes after post)

lol

Quote this reply Report this reply to moderators
Help me with: Wet Monkey Theory!
This reply has been removed.
schmierfest offline Verified User (5 years, 5 months) Long Term User Shouts: 0 #
Harbottle, J6, GB | 5 years, 5 months ago (55 minutes after post)

The forces acting on the 4kg block are its weight (4 x gravity (9.8 on earth)) and the tension of the cord. The forces on the 2.6kg block are its weight and the tension.
Two simpultaneous equations can be made using Newton’s Law F=ma, so considering the first 4kg block 4a = T (tension) - 4 x 9.8 x sin 30 (because of the 30 degree slope)
and for the second block 2.6a = 2.6 x 9.8 - T
Adding these equations gives 6.6a = 2.6g - 4gsin30 which rearranges to acceleration = 0.89ms-2 rounded to 2 decimal places.
Plugging the value of a back into either equation gives T as 23.16N (to 2.d.p.)

Quote this reply Report this reply to moderators

Invite Others to Help

A logged in and verified Help.com member has the ability to setup a Friends List and invite others to help with posts.