diagrams for the cart mc and the hanging mass mh in terms of the gravitational force mg, tension T, normal force N, and frictional force Ff=μkN. Q1: Based on the mc free-body diagram, type an expression for the horizontal acceleration of the cart. Q2: Based on the

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Chapter1: Units, Trigonometry. And Vectors
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The figure above shows free-body diagrams for the cart mc and the hanging mass mh in terms of the gravitational force mg, tension T, normal force N, and frictional force Ff=μkN.

Q1: Based on the mc free-body diagram, type an expression for the horizontal acceleration of the cart.

Q2: Based on the mh free-body diagram, type an expression for the vertical acceleration of the hanging mass.

Q3: As shown in the first figure, the horizontal acceleration of the cart to the right must be equal to the downward vertical acceleration of the hanging mass if the string does not stretch. Given that both the cart and the hanging mass have the same acceleration, eliminate the tension force (T) from your answers to Q1 and Q2 to find an expression for the acceleration only in terms of mh, mc, μk, and g.

The figure below shows free-body diagrams for the cart mc and the hanging mass mh in terms of the gravitational force mg, tension T,
normal force N, and frictional force Ff = µkN.
mc
Mh
T
→ T
mcg
Transcribed Image Text:The figure below shows free-body diagrams for the cart mc and the hanging mass mh in terms of the gravitational force mg, tension T, normal force N, and frictional force Ff = µkN. mc Mh T → T mcg
а
mc
а
Mh
Transcribed Image Text:а mc а Mh
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