The problem involves calculating the speed of a block after a force is applied to a spool system. Here is the transcription and explanation:---The spool has a weight of 75 lb and a radius of gyration \( k_O = 1.20 \, \text{ft} \). If the block \( B \) weighs 60 lb, and a force of \( P = 25 \, \text{lb} \) is applied to the cord, determine the speed of the block after 5 seconds starting from rest. Neglect the mass of the cord.**Diagram Explanation:**The diagram depicts a spool with a horizontal cord wrapped around it. The force \( P \) is applied tangentially to the spool at the end of the cord, exerting a pull to the right. The spool has two radii indicated: - The inner radius, \( 0.75 \, \text{ft} \), where the cord is attached near the axis.- The outer radius, \( 2 \, \text{ft} \).Below the spool, a block \( B \) is suspended, illustrating the vertical connection via the cord. The problem requires calculating how fast this block moves after 5 seconds, ignoring the cord's mass. ---This setup involves principles of rotational dynamics and translational motion to find the block's final speed, taking into account the forces and geometry provided.

Given data: W=75 lbk0=1.2 ft=14.4 inw=60 lbP=25 lbt=5 s

The spool has a weight of 75 lb and a radius of gyration ko = 1.20 ft. If the block B weighs 60 lb, and a force P = 25 lb is applied to the cord; determine the speed of the block after 5 s starting from rest. Neglect the mass of the cord.

The spool has a weight of 75 lb and a radius of gyration ko = 1.20 ft. If the block B weighs 60 lb, and a force P = 25 lb is applied to the cord; determine the speed of the block after 5 s starting from rest. Neglect the mass of the cord.

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

See similar textbooks

Related questions

Q: The collar C with mass m slides on the smooth horizontal bar when the bar AB rotates with constant…

Q: The small collar of mass m = 0.59 kg is released from rest at A and slides down the curved rod in…

A: Given - h=2.99 mVA=0m =.59 kg To Find - VB=?

Q: 6. Two identical 10 kg spheres are attached to the rod, which rotates in the horizontal plane. The…

Q: The quarter-circular slotted arm OA is rotating about a horizontal axis through welocity 22-5.7 rad…

Q: The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an…

A: Given : Force, F = 2 N Mass of sleeve, m = 1 kg Spring constant, k = 5N/m Length of unstretched…

Q: The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m…

Q: The spring-mounted 0.92-kg collar A oscillates along the horizontal rod, which is rotating at the…

A: Given Datam=0.92 kgθ˙= 6.5rad/sr˙=850 mm/s=0.85m/sμk=0.52

Q: The forklift travels forward with a constant speed of 0.27 m/sec. Determine the maximum deceleration…

Q: 200 mm 75 mm F A

Q: Determine the constant force P

Q: h k to с www

Q: The 4,450kg truck is traveling at 30.50m/s when the brakes on all its wheels are applied, causing it…

A: Given Data Mass of the truck, mt=4450 Kg Mass of the boat + trailor, 2250Kg Total mass=6700Kg

Q: The collar with mass of 0.9 kg is released from rest at position A and travels down the smooth…

A: Given: The mass of collar, m = 0.9 kg The stiffness of spring, k = 140 N/m The un-streched length, x…

Q: The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an…

A: Given data as below: F = 2 N m = 1 kg k = 5N/m Lunstretched = 4 m To determine: Sleeve Speed Power…

Q: The ball of mass m is guided along the vertical circular path r = 4cos(0)meters using the arm OA. If…

Q: The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m…

Q: The 900-lb roller coaster car starts from rest on the track having the shape of a cylindrical helix…

Q: The rod of negligible mass is subjected to a couple moment of M = (30t²) N-m and the engine of the…

Q: The smooth block B, having a mass of 1 kg, is attached to the vertex of the right circular cone…

A: Data given- m = 1 kg v = 0.6 m/s

Q: A smooth can C, having a mass M = 3 kg, is lifted from a feed at A to a ramp at B by a rotating rod.…

A: Here the data are- θ=30° θ'=0.5 rad/s M=3 Kg r=2bcosθ b=600 mm=0.6m

Q: The 1 kg sleeve is pulled to the configuration shown and released from rest. The spring has an…

A: Given: F = 2 N m = 1 kg k = 5N/m The free body diagram of the sleeve is given below:

Q: The collar has a mass of 2 kg and is attached to the light spring, which has a stiffness of 30 N∕m…

A: Given data: m=2 kgk=30 N/mL0=1.5 mF=50 N Need to determine the velocity v of the collar as it passes…

Q: The 5-lb collar is released from rest at A and travels along the frictionless guide. Determine the…

Q: Two identical 16-kg spheres are attached to the light rigid rod, which rotates in the horizontal…

Q: The motor winds in the cable with a constant acceleration, such that the 20kg crate…

A: Given question belongs to the subject Classical Mechanics and be solved using Newton's second law…

Q: The 5-kg collar slides along the curved smooth vertical rod. If the collar is released from rest at…

A: Given data: Mass of the collar, m = 5 kg r = 0.3(1 + cosθ) m Stiffness, k = 500 N/m Length of…

Q: Rod OA rotates counterclockwise at a constant angular rate e = 4 rad/s. The double collar Bis…

Q: Determine the constant force P required to cause the 0.58-kg slider to have a speed v2 = 0.55 m/s at…

Q: The simple pendulum A of mass ma = 3.9 kg and length I = 1.51 m is suspended from the trolley B of…

A: Given Data: mA=3.9 kgl=1.51 mmB=7.9 kg To Find: Velocity of trolley B, vB.

Concept explainers

Power Transmission Elements

It is defined as the energy transfer from one location to another location. The energy will start moving from the energy generation source to the energy applied position to obtain the work output. From this method, a large amount of electric energy moves from the power station to various electrical substations.

Question

The problem involves calculating the speed of a block after a force is applied to a spool system. Here is the transcription and explanation:

---

The spool has a weight of 75 lb and a radius of gyration \( k_O = 1.20 \, \text{ft} \). If the block \( B \) weighs 60 lb, and a force of \( P = 25 \, \text{lb} \) is applied to the cord, determine the speed of the block after 5 seconds starting from rest. Neglect the mass of the cord.

**Diagram Explanation:**

The diagram depicts a spool with a horizontal cord wrapped around it. The force \( P \) is applied tangentially to the spool at the end of the cord, exerting a pull to the right. The spool has two radii indicated:

- The inner radius, \( 0.75 \, \text{ft} \), where the cord is attached near the axis.
- The outer radius, \( 2 \, \text{ft} \).

Below the spool, a block \( B \) is suspended, illustrating the vertical connection via the cord. The problem requires calculating how fast this block moves after 5 seconds, ignoring the cord's mass.

---

This setup involves principles of rotational dynamics and translational motion to find the block's final speed, taking into account the forces and geometry provided.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step 3

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Design of Power Transmission Elements and Power Transmission Systems

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

When s = 0.6 m, the spring is relaxed, and the 10 kg block, which issubjected to a force of 125 N, has a speed of 4 m/s on the smooth plane.Find the distance s when the block stops.
y - y = 4.5 – x h ft k lb/ft B I ft The 8-lb collar has a speed of 9 ft. s at A. The attached spring has an unstretched length of 2 ft and a stiffness of k = 15lb. ft-1. If the collar moves over the smooth rod, determine its speed when it reaches point B. The height of A is h = 6 ft and B is at l = 4ft from the vertical of A www
* 5. In preliminary design studies for a sun- powered car, it is estimated that the mass of the car and driver will be m kg and the torque produced by the engine will result in a F, newton tangential force on the car. Suppose that the car starts from rest on the track at A and is subjected to a constant Ft newton tangential force. Determine the magnitude of the car's velocity and the normal component of R m END B A START l m Figure 5. force on the car when it reaches B. m = .15.. kg Fe .newton .m R = 31.25
The 190-kg lunar lander is descending onto the moon's surface with a velocity of 6.0 m/s when its retro-engine is fired. If the engine produces a thrust T for 3.8 s which varies with the time as shown and then cuts off, calculate the velocity of the lander when t 4.7s assuming that it has not yet landed. Gravitational acceleration at the moon's surface is 1.62 m/s?. The velocity is positive if moving downward, negative if up. 6.0 m/s T.N 756 1.9 3.8 Answe: v m/s
The flat circular disk rotates about a vertical axis through O with a slowly increasing angular velocity w. Prior to rotation, each of the 0.52-kg sliding blocks has the position x = 28 mm with no force in its attached spring. Each spring has a stiffness of 430 N/m. Determine the value of x for each spring for a steady speed of 279 rev/min. Also calculate the normal force N exerted by the side of the slot on the block. The force N is positive if it pushes from the side labeled A. Neglect any friction between the blocks and the slots, and neglect the mass of the springs. (Hint: Sum forces along and normal to the slot.) Answers: X = wwwwwwww N = i i -74-74- mm mm mm N
The motor winds in the cable with a constant acceleration, such that the 20-kg crate moves a distance s = 6 m in 3 s, starting from rest. Determine acceleration. what is the normal force (N) at point A. Determine the tension developed in the cable. The coefficient of kinetic friction between the crate and the plane is u= 0.3.
The 4-lb collar is compressed against a spring a distance of 6 inches and then releasedfrom rest. The spring can be considered elastic and has a constant of k = 10 lb/in. Thespring is not adhered to the collar, and can be considered massless, so it will notextend into tension. Plot the acceleration of the collar as a function of x for x = 0 to 7 inches.What is the velocity as the collar leaves the spring?
Determine the velocity of the cylinder A when t=4s if the system is released from rest. Cylinder A has mass of 8kg and cylinder B has a mass of 6kg. Neglect the mass of the pulleys and cords.
The 33-kg crate is stationary when the force Pis applied. Determine the resulting acceleration of the crate if (a) P = 0, (b) P = 143 N, and (c) P = 322 N. The acceleration is positive if up the slope, negative if down the slope. H, = 0.37 HE = 0.29 33 kg 25 Part 1 Part (a). We need to decide if the block moves. The easy way to make this decision is to assume that the block does not move and then to test this assumption. If P = 0, what friction force F is needed to keep the block from moving? mg P Answer: F = i N
The small block B is attached to the vertex A of the right circular cone using a light cord. The cone is rotating at a constant angular velocity about the vertical z-axis such that the block attains a speed of 0.6 m/sec. If the mass of the block is 0.3 kg, determine the tension in the cord by neglecting friction and the size of the block. Present your answer in Newtons using 3 significant figures. 200 mm B 300 mm A 400 mm
solve this question
1. The spool has a mass of 50 kg and a radius of gyration ko = 0.280 m. If the 20-kg block is traveling downward at a speed of 4 m/s, determine the total kinetic energy of the system at this instant. 0.3 m 0.2 m