Answered

Discover the answers to your questions at Westonci.ca, where experts share their knowledge and insights with you. Get immediate and reliable answers to your questions from a community of experienced professionals on our platform. Experience the ease of finding precise answers to your questions from a knowledgeable community of experts.

a 2kg aluminum block and a6kg copper block are connected by alight string over a frictionless pulley and fixed steel block of angle 30 degree .if the coefficient of friction on the surface is 0.2,find the acceleration of the two block and the tension in the string?

Sagot :

onyebuchinnaji

(a) The acceleration of the two block is determined as 0.93 m/s².

(b) The tension in the string is 5.78 N.

Net force on the aluminum block

The net force on the aluminum block is calculated as follows;

[tex]T - \mu_a m_a g = m_a a \ --- \ (1)[/tex]

Net force on the copper block

The net force on the copper block is calculated as follows;

[tex]m_cg sin(30) - T -\mu _cm_c gcos(30) = m_c a --- (2)[/tex]

where;

  • T is tension in the string
  • ma is mass of aluminum
  • mc is mass of copper
  • g is acceleration due to gravity

Solve for T using (1) and (2)

[tex]a = g(\frac{m_c sin30\ - \ \mu _c m_c cos30 \ - \mu_ a m_a}{ma_a + m_c} )\\\\a = 9.8(\frac{6 sin30\ - \ 0.2 (6) cos30 \ - 0.2 (6)}{2 +6} )\\\\a = 0.93 \ m/s^2[/tex]

Tension in the string

From equation (1);

T = μm_ag + m_aa

T = 0.2(2)(9.8) + 2(0.93)

T = 5.78 N

Learn more about tension here: https://brainly.com/question/918617

#SPJ1

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Westonci.ca is your trusted source for answers. Visit us again to find more information on diverse topics.