3. A box of mass m=15 kg at the packaging section of a factory comes to thetopofa ramp(0=37°) with speed vo and slides down where it is picked up for shipment. In order toavoid damage to the box a spring is used with force constant k=100N/m and themaximum forceFmax=100N. The box slides a distance of l=4 m down the incline before it hits the springis 0.75.as shown. The coefficient of kinetic friction between the box and entirerampa) Find the work done by thegravity , normal force andfriction force on the box untilit hits the spring.b) Find the maximum speed ofthe box at the top of the rampif the box is to be picked upspring ismaximum compression.whentheinwww

Solution: Weight of the box W=mg=15×9.81=147.15N Component of weight normal to the surface…

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 VO 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 the spring maximum compression. V1 is in when www

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 VO 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 the spring maximum compression. V1 is in when www

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

Section: Chapter Questions

Problem 7.81P: Calculate the horizontal force P required to push the 85-lb lawn mower at constant speed. The center...

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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.
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