Question

A block of mass m1 = 1.65 kg and a block of mass m2 = 6.15 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 0 = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. М, R т (a) Draw force diagrams of both blocks and of the pulley. Choose File No file chosen This answer has not been graded yet. (b) Determine the acceleration of the two blocks. (Enter the magnitude of the acceleration.) m/s2 (c) Determine the tensions in the string on both sides of the pulley. left of the pulley N right of the pulley N

Circle answers please

Answer 1

A)

Acceleration, a = (m2 g sin(theta) - u m2g cos(theta) - u m1g)/(m1 + m2 + M/2)

a = [(6.15 x 9.8 sin(30)) - (0.36 x 6.15 x 9.8 cos(30)) - (0.36 x 1.65 x 9.8)]/(1.65 + 6.15 + 10/2)

a = 0.43 m/s^2

B)

T1 = m1a + um1g

T1 = (1.65 x 0.43) + (0.36 x 1.65 x 9.8) = 6.53 N

C)

T2 = m2g sin(theta) - um2g cos(theta) - m2a

T2 = (6.15 x 9.8 sin(30)) - (0.36 x 6.15 x 9.8 x cos(30)) - (6.15 x 0.43) = 8.70 N

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