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Laws Of Motion

Question
CBSEENPH11016783

The masses shown in the figure accelerate with acceleration 2m/s . If the tension in the coupling is 8N, find the force of friction on each block.



Solution

Given,
Mass,space space straight m subscript 1 equals 2 kg comma     
Mass, straight m subscript 2 equals 3 kg 
Force acting on the block, F = 24N
Tension in the block, T = 8N
Acceleration, <pre>uncaught exception: <b>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</b><br /><br />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<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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Let straight f subscript 1 space and space straight f subscript 2 be the force of frictions on masses space straight m subscript 1 space and space straight m subscript 2 respectively.
Therefore by using free body diagram,
                      straight F minus straight T minus straight f subscript 1 equals straight m subscript 2 straight a
and                      straight T minus straight f subscript 2 equals straight m subscript 1 straight a
Substituting the given values,
                     24 minus 8 minus straight f subscript 1 equals 3 cross times 2
and                        8 minus straight f subscript 2 equals 2 cross times 2
On solving we get,
                  straight f subscript 1 equals 10 straight N  and  <pre>uncaught exception: <b>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</b><br /><br />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<br />#0 [internal function]: _hx_error_handler(2, 'mkdir(): Permis...', '/home/config_ad...', 56, Array)
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f1 and f2 are the required force of frcition.