Question

Two masses m₁ and m₂ are attached with massless, flexible and inextensible string and passed over a pulley (frictionless). Find the acceleration of masses and tension in the string.

Solution

Weight of mass m₁ is greater than the mass m₂.
Let these two masses m₁ and m₂ be attached with massless, flexible and inextensible string and passed over the pulley.

Let 'T' be the tension in the string and 'a' be the acceleration of mass m₁ and m₂.
Equations of motion of masses m₁ and m₂ are,
 $m subscript italic 1 g italic minus T italic equals m subscript italic 1 a$ ...(1)
 $<pre>uncaught exception: mkdir(): Permission denied (errno: 2) in /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php at line #56mkdir(): Permission denied in file: /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php line 56 #0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array) #1 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/util/sys/Store.class.php(56): mkdir('/home/config_ad...', 493) #2 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/FolderTreeStorageAndCache.class.php(110): com_wiris_util_sys_Store->mkdirs() #3 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/RenderImpl.class.php(231): com_wiris_plugin_impl_FolderTreeStorageAndCache->codeDigest('mml=<math xmlns...') #4 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/lib/com/wiris/plugin/impl/TextServiceImpl.class.php(59): com_wiris_plugin_impl_RenderImpl->computeDigest(NULL, Array) #5 /home/config_admin/public/felixventures.in/public/application/css/plugins/tiny_mce_wiris/integration/service.php(19): com_wiris_plugin_impl_TextServiceImpl->service('mathml2accessib...', Array) #6 {main}</pre>$ ...(2)
Solving (1) and (2), we get
Acceleration of the masses is given by,
$space space a italic equals fraction numerator m subscript italic 1 italic minus m subscript italic 2 over denominator m subscript italic 1 italic plus m subscript italic 2 end fraction g$

and
Tension in the string is,
 $T italic equals fraction numerator italic 2 m subscript italic 1 m subscript italic 2 over denominator m subscript italic 1 italic plus m subscript italic 2 end fraction g$

For Daily Free Study Material Join wiredfaculty

Laws Of Motion

Two masses m₁ and m₂ are attached with massless, flexible and inextensible string and passed over a pulley (frictionless). Find the acceleration of masses and tension in the string.

Some More Questions From Laws of Motion Chapter

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

Why do we pull the rope in downward direction for climbing up?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Phone Number

Email Address

Loaction

For Daily Free Study Material Join wiredfaculty

Laws Of Motion

Two masses m1 and m2 are attached with massless, flexible and inextensible string and passed over a pulley (frictionless). Find the acceleration of masses and tension in the string.

Some More Questions From Laws of Motion Chapter

A person jumping out from a moving car or bus falls forward. Why?

Due to what type of inertia, the spark leaves the grind stone tangentially while sharpening the knife?

Which law of motion is also called law of inertia?

What is measure of inertia of body?

Which law of motion defines the force?

What happens to a stone tied to the end of string and whirled in a circle if the string suddenly breaks?

Which law of motion gives the quantitative knowledge of force?

Which law of motion is the real law of motion?

Which law of motion gives the quantitative definition of force?

Why do we pull the rope in downward direction for climbing up?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Two masses m₁ and m₂ are attached with massless, flexible and inextensible string and passed over a pulley (frictionless). Find the acceleration of masses and tension in the string.