Block- 2) A block of mass M slides on a thin film of oil. The film thickness is h and the area of Cord the block A. When released, mass m exerts tension on the cord, causing the block to accelerate. Neglect friction in the pulley and air resistance. Develop an algebraic expression for the viscous force that acts on the block when it moves at speed V. Derive a differential equation for the block speed as a function of time. Obtain an expression for the block speed as function of time. The mass M=5kg, m=1kg, A=25 cm?, and h-0.5 mm. If it takes 1 second for the speed to reach 1 m/s, find oil viscosity µ. Oil film (viscosity, pa) Mass

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Block
2) A block of mass M slides on a thin film of
oil. The film thickness is h and the area of
Cord
the block A. When released, mass m exerts
tension on the cord, causing the block to
accelerate. Neglect friction in the pulley and
air resistance. Develop an algebraic
expression for the viscous force that acts on
the block when it moves at speed V. Derive a
differential equation for the block speed as a
function of time. Obtain an expression for the
block speed as function of time. The mass
M=5kg, m=lkg, A=25 cm?, and h-0.5 mm.
If it takes 1 second for the speed to reach 1
m/s, find oil viscosity u.
Oil film
(viscosity, u)
Mass
Transcribed Image Text:Block 2) A block of mass M slides on a thin film of oil. The film thickness is h and the area of Cord the block A. When released, mass m exerts tension on the cord, causing the block to accelerate. Neglect friction in the pulley and air resistance. Develop an algebraic expression for the viscous force that acts on the block when it moves at speed V. Derive a differential equation for the block speed as a function of time. Obtain an expression for the block speed as function of time. The mass M=5kg, m=lkg, A=25 cm?, and h-0.5 mm. If it takes 1 second for the speed to reach 1 m/s, find oil viscosity u. Oil film (viscosity, u) Mass
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