Question

(14%) an ideal (frictionless and massless) pulley such that one block with mass m 13.75 kg is on a horizontal table and the other block with mass m-9.5 kg hangs vertically. Both blocks experience gravity and the tension force, T. Use the coordinate system specified in the diagram. Problem 7: Two blocks are connected by a massless rope, The rope passes over Otheexpertta.com 25% Part (a) Assuming friction forces are negligible, write an expression using only the variables provided for the acceleration that the block of mass m/ experiences in the x-direction. Your answer should involve the tension, T Grade Summary Deductions 0% Potential 100% - Submissions 4 5 6 Attempts remaining: 즈 (2% per attempt) detailed view IT 0. Submit | Hint I give up! Hints: 1% deduction per hint. Hints remaining: 3 Feedback: 0 dedaction per foodback ▲ 25% Parti b) Under the same assumpuons, write an expression for the acceleration, a. the block of mass m expenences the v direction.

Answer 1

a) considering equilibrium of forces along horizontal

T = m1 a1

a1 = T / m1

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b) considering equilibrium of forces along vertical

m2 a2 = m2 g - T

a2 = - ( m2 g - T) / m2

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c)

since the system attached to a same string so acceleration must be same

m2 a = m2 g - m1 a

a = m2 g / ( m1 + m2)

a = 9.5* 9.8 / ( 9.5 + 13.75)

a = 4 m/s^2

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d)

T= m1 a = 13.75 * 4

T = 55 N

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