3. A box of mass m=15 kg at the packaging section of a factory comes to the top of a ramp (0=37°) with speed vo and slides down where it is picked up for shipment. In order to avoid damage to the box a spring is used with force constant k=100N/m and the maximum force Fmax=100N. The box slides a distance of l=4 m down the incline before it hits the spring as shown. The coefficient of kinetic friction between the box and entire ramp is 0.75. a) Find the work done by the gravity normal force and friction force on the box until it hits the spring. b) Find the maximum speed of the box at the top of the ramp if the box is to be picked up

International Edition---engineering Mechanics: Statics, 4th Edition
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ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
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Chapter7: Dry Friction
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3. A box of mass m=15 kg at the packaging section of a factory comes to the top of a
(0=37°) with speed vo and slides down where it is picked up for shipment. In order to
avoid damage to the box a spring is used with force constant k=100N/m and the
ramp
maximum force
Fmax=100N. The box slides a distance of -4 m down the incline before it hits the spring
is 0.75.
ramp
as shown. The coefficient of kinetic friction between the box and entire
a) Find the work done by the
normal force and
Vo
gravity
friction force on the box until
it hits the spring.
b) Find the maximum speed of
the box at the top of the ramp
if the box is to be picked up
in
the spring
is
www
when
maximum compression.
Transcribed Image Text:3. A box of mass m=15 kg at the packaging section of a factory comes to the top of a (0=37°) with speed vo and slides down where it is picked up for shipment. In order to avoid damage to the box a spring is used with force constant k=100N/m and the ramp maximum force Fmax=100N. The box slides a distance of -4 m down the incline before it hits the spring is 0.75. ramp as shown. The coefficient of kinetic friction between the box and entire a) Find the work done by the normal force and Vo gravity friction force on the box until it hits the spring. b) Find the maximum speed of the box at the top of the ramp if the box is to be picked up in the spring is www when maximum compression.
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