A block with mass (m₁) on a table is moved by a hanging mass (m2) attached to a pulley (see figure below). Assume the masses of the cord and pulleys can be ignored, the cord does not stretch, and all surfaces are frictionless. (a) Draw free body diagrams for the two masses (indicating all forces and accelerations) (b) Determine a relation between acceleration (a₁) of mi and acceleration (a2) of m2.
A block with mass (m₁) on a table is moved by a hanging mass (m2) attached to a pulley (see figure below). Assume the masses of the cord and pulleys can be ignored, the cord does not stretch, and all surfaces are frictionless. (a) Draw free body diagrams for the two masses (indicating all forces and accelerations) (b) Determine a relation between acceleration (a₁) of mi and acceleration (a2) of m2.
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![A block with mass (m₁) on a table is moved by a hanging mass (m2) attached to a pulley (see
figure below). Assume the masses of the cord and pulleys can be ignored, the cord does not
stretch, and all surfaces are frictionless.
(a) Draw free body diagrams for the two masses (indicating all forces and accelerations)
(b) Determine a relation between acceleration (a₁) of m₁ and acceleration (a2) of m₂.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b421daf-4b57-4fe1-ad05-03b7cb5ea3bb%2Fc3372f6f-9fc1-419c-b781-6a7610608da4%2Fa9y5mda_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A block with mass (m₁) on a table is moved by a hanging mass (m2) attached to a pulley (see
figure below). Assume the masses of the cord and pulleys can be ignored, the cord does not
stretch, and all surfaces are frictionless.
(a) Draw free body diagrams for the two masses (indicating all forces and accelerations)
(b) Determine a relation between acceleration (a₁) of m₁ and acceleration (a2) of m₂.
![(c) Derive relations containing the tension T for both masses and find a2 in terms of m₁ and m2.
(d) If m₂ = 1.5 kg and a2 = 0, find value of tension T.
Comment on what the mass (in general terms) of m₁ may be for a2 to occur.
m₁
m₂](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1b421daf-4b57-4fe1-ad05-03b7cb5ea3bb%2Fc3372f6f-9fc1-419c-b781-6a7610608da4%2Fctjdauh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:(c) Derive relations containing the tension T for both masses and find a2 in terms of m₁ and m2.
(d) If m₂ = 1.5 kg and a2 = 0, find value of tension T.
Comment on what the mass (in general terms) of m₁ may be for a2 to occur.
m₁
m₂
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