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 when the spring is in www maximum compression.

International Edition---engineering Mechanics: Statics, 4th Edition
4th Edition
ISBN:9781305501607
Author:Andrew Pytel And Jaan Kiusalaas
Publisher:Andrew Pytel And Jaan Kiusalaas
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 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
when the spring is in
maximum compression.
www
Transcribed Image Text: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 when the spring is in maximum compression. www
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