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A train whose weight is 20kN moves at the rate of 60km/hr. After brakes are applied, it is brought to rest at 500m. What is the force exerted, assuming it to be uniform?

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 Given: Weight of the train:   Speed of the train:   Stopping distance:   Write the equation of acceleration:   Write the equation of the breaking force:   Thus, the breaking force is 0.567 kN.

A cross-country skier is skiing along at 7 m/s. He stops pushing and slows to 6 m/S after gliding 5 m. What is the magnitude of his acceleration?

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Given: Initial velocity of skier:   Velocity after gliding 5 m:   Gliding distance:   Write the equation of uniform acceleration motion:         Thus, the acceleration of the skier is -2.6 m/s².

The frame is supported by a pin at A and and rope DE. Member BC weighs 360 lbs, and member AD weighs 540 lbs. Determine the support reactions for the frame.

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  Draw the FBD of the member BC. . From the problem figure, calculate the  .         Consider the equilibrium conditions.                   Substitute T  in equation (1).     Substitute  T  in equation (2).     Draw the FBD of the member AD. From the problem figure, calculate the   .     Consider the equilibrium conditions.               As shown in the problem figure,     and