The 250-lb concrete block A is released from rest in the position shown and pulls the 400-lb log up the 30o ramp. If the coefficient of kinetic friction between the log and the ramp is 0.5, determine the velocity of the block as it hits the ground at B.
The 250-lb concrete block A is released from rest in the position shown and pulls the 400-lb log up the 30o ramp. If the coefficient of kinetic friction between the log and the ramp is 0.5, determine the velocity of the block as it hits the ground at B.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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The 250-lb concrete block A is released from rest in the position shown and pulls the 400-lb log up the 30o ramp. If the coefficient of kinetic friction between the log and the ramp is 0.5, determine the
velocity of the block as it hits the ground at B.
Transcribed Image Text:The image depicts a physics problem involving a block, a pulley, and an inclined plane. Here's a detailed explanation:
### Components:
- **Block on Inclined Plane**:
- The block weighs 400 lb.
- It is placed on a plane inclined at an angle of 30°.
- The coefficient of kinetic friction (\( \mu_k \)) between the block and the plane is given as 0.5.
- **Pulley System**:
- The block is connected by a rope to a pulley system.
- The rope runs over a pulley at point C.
- **Hanging Block**:
- A second block, labeled A, is suspended vertically from the pulley system.
- This block weighs 250 lb.
- The distance from the block A to the ground or point B is 20 feet.
### Diagram Explanation:
- The inclined plane is shown with the angle of inclination clearly marked.
- The block on the plane is shown with an arrow representing its weight.
- The hanging block is vertically aligned, suspended from the pulley.
- The connecting rope runs in a straight line from the inclined block over the pulley to the hanging block.
This setup is often used in physics problems to explore concepts such as friction, tension in the rope, and the application of Newton's laws of motion to systems in equilibrium or undergoing motion.
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