A 269-lb block is released from rest when the spring is unstretched. The drum has a weight of 90 lb and a radius of gyration of \( k_O = 0.9 \, \text{ft} \) about its center of mass O. The coefficient of stiffness of the spring is \( k = 84 \, \text{lb/ft} \). The radius of the drum are: \( r_{\text{in}} = 0.424 \, \text{ft} \) and \( r_{\text{out}} = 0.891 \, \text{ft} \).The velocity of the block after it has descended \( d = 7 \, \text{feet} \). Give your answer with 1 decimal.**Diagram Explanation:**The diagram shows a block attached to a pulley system. The drum is circular with an inner radius (\( r_{\text{in}} \)) and outer radius (\( r_{\text{out}} \)). A spring is connected to the drum, representing the source of tension and resistance in the system. The block, drum, and spring interact to demonstrate principles of physics such as mass, force, and motion.

Answer: The velocity of the block after it had descended by a distance of 7 ft is equal to 15.9…

A 269-lb block is released from rest when the spring is unstretched. The drum has a weight of 90 lb and a radius of gyration of ko - 0.9 t about its center of mass O. The coefficient of stiffness of the spring is k-84 Ib/t. The radius of the drum are: f0424t and fa-0.89. The velocity of the block after it has descended d-7 feet. Give your answer with 1

A 269-lb block is released from rest when the spring is unstretched. The drum has a weight of 90 lb and a radius of gyration of ko - 0.9 t about its center of mass O. The coefficient of stiffness of the spring is k-84 Ib/t. The radius of the drum are: f0424t and fa-0.89. The velocity of the block after it has descended d-7 feet. Give your answer with 1

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 wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: Write the given data. m=20 kgr=0.6 mkG=0.4 mL0=1 mk=2 N/mθ=30°L2=4 m

Q: The spool has a mass of 90 kg and a radius of gyration of kg = 0.3 m. igure 250 mm G 400 mm Part A…

A: Given data : The mass of the spool m=90 kg. The radius of gyration kg=0.3 m. The coefficient of…

Q: The 52-kg reel has a radius of gyration about its center O of ko = 240 mm. If it is released from…

Q: This is a dynamics question. Answer: v = 7.09 ft/s

A: Drawing the free body diagram of the two-wheel as shown below – Calculate the mass moment of…

Q: A motor M is supplied with 4 hp of power and has an efficiency of 80%. The motor is used to lift a…

Q: The 213-kg wheel has a radius of gyration about its center O of ko = 240 mm, and radius r = 0.4 m.…

Q: moment c Angular velocity

Q: The 46-kg cylinder has an angular velocity of w = 34 rad/s when it is brought into contact with the…

A: The time required to stop spinning the cylinder and the force in the link AB. Given: The mass of the…

Q: A 256-b block is released from rest when the spring is unstretched. The drum has a weight of 76 Ib…

Q: The 110-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m.…

Q: The 28-kg wheel is rolling under the constant moment of M = 84 N.m. The wheel has radius r = 0.53 m,…

Q: G r 0 F

Q: The pendulum consists of a 10-kg uniform slender rod and a 15-kg sphere (IG-2/5 mr²). If the…

A: The mass of the sphere is ms=15 kg The mass of the rod is ml=10 kg. The applied torque is M=50 Nm.…

Q: The system is at rest with the spring unstretched when 8 = 0. The 5.3-kg uniform slender bar is then…

A: mass,m=5.3 kgb=0.45 mto determine:(a) Spring constant k(b)magnitude of angular velocity

Q: wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m.…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

Q: If the cord at B suddenly fails, determine a) The angular acceleration of the beam. b) The…

Q: The 25-kg wheel is rolling under the constant moment of M = 73 N-m. The wheel has radius r= 0.52 m,…

A: find the angular acceleration.

Q: This is a Dynamics question. Answer: thetamax = 46.9 deg

A: Given data as per question Weight of tire = 30 lb Radius of gyration = 0.6 ft Coefficient of static…

Q: The shown 61 lb spool of radius R = 1.5 ft has a centroidal radius of gyration ko = 0.7 ft is…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

Q: 10" 6" D - - 9 lb 10° Y

A: Given,

Q: L2 ILKI 수상 State 2 G. 10 State 1 datum

A: Given,

Q: e necessary static frictional force between the wheel andomized. Your answer must include 2 places…

Q: The spool has a mass of 80 kg and a radius of gyration of kg 200 mm about its center of mass G.…

A: mass, m = 80 kgload, P = 200 Nradius of gyration, kG = 200 mm = 0.2 mk = 0.25s = 0.3r1 = 300 mm =…

Q: The 16-kg wheel has a radius of gyration about its center O of ko = 220 mm, and radius r = 0.4 m.…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

A: Given Data: Mass of Wheel m=20 kg Radius of Wheel R=0.6 m Radius of gyration KG=0.4 m Unstretched…

Q: Example 7 The 100-lb wheel has a radius of gyration of kg = 0.75 ft. If the upper wire is subjected…

A: The weight of the wheel is W=100 lb. The radius of gyration of the wheel is kG=0.75 ft. The tension…

Q: The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is…

Q: If the system starts from rest and no slipping occurs and cylinder A weighs 450 N and has a radius…

A: Given: Initially system is at rest and There is no slipping between cylinder and surface. Thus…

Question

A 269-lb block is released from rest when the spring is unstretched. The drum has a weight of 90 lb and a radius of gyration of \( k_O = 0.9 \, \text{ft} \) about its center of mass O. The coefficient of stiffness of the spring is \( k = 84 \, \text{lb/ft} \). The radius of the drum are: \( r_{\text{in}} = 0.424 \, \text{ft} \) and \( r_{\text{out}} = 0.891 \, \text{ft} \).

The velocity of the block after it has descended \( d = 7 \, \text{feet} \). Give your answer with 1 decimal.

**Diagram Explanation:**
The diagram shows a block attached to a pulley system. The drum is circular with an inner radius (\( r_{\text{in}} \)) and outer radius (\( r_{\text{out}} \)). A spring is connected to the drum, representing the source of tension and resistance in the system. The block, drum, and spring interact to demonstrate principles of physics such as mass, force, and motion.

Expert Solution

This question has been solved!

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

SEE SOLUTION Check out a sample Q&A here

Step 1

Step 2

Step 3

Step 4

Step by step

Solved in 4 steps with 3 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

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

The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. Ignore the spring's mass. (1) If the datum for gravitational potential energy is set as shown below, the the gravitational potential energy of the wheel at the state 1 is___ N m(two decimal places) (2) If the datum for gravitional potential energ is set as shown below, the gravitational potential energy of the wheel at the state 2 is___ N m (two decimal places) (3) At state 1, how long the spring is stretched from its unstretched state (length difference):________(m) (two decimal places) (4) The…
The 75 kg wheel has a radius of gyration about its mass centreof kG=400mm. If it is subjected to a torque of M=150 N.m,determine:a. The angular acceleration of the wheel,b. The linear acceleration of the mass centrec. The created frictional force at the point of contact.The coefficient of static friction between the wheel and theground is S=0.3.Hint: Assume no slipping occurs at star, and verify I at the end.
The dynamic system is initially at rest. The rod has a mass of m=0.5kg and a length of L=1m. The CG of the rod is located at G, and the rod is rotated about the point O, a distance, h=0.25m, away from point G. When the rod from above is rotated at the vertical position (swing to 90 degrees counterclockwise), find: a. Angular velocity b. Reaction at O
Figure shows a system of cylinder (m = 50 kg) and a load (m = 30 kg) connected through a rope. The system is released from rest and the load L moves along the inclined surface. The kinetic coefficient of friction between the load and the inclined surface is 0.22. The radius of gyration of the cylinder is 0.8 m. Take d1 = 0.5 m, d2 = 1.4 m, and a = 34°. Determine the angular velocity of the cylinder after the load L slides 1.6 m on the inclined surface. d2 d1 C
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (1) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 1 is___ (two decimal places) (2) If the mass center G is set as the origin (datum), the gravitational potential energy at the state 2 is___ (two decimal places) (3) The stretched spring length of the spring at the state 1 is________(m) (two decimal places) (4) The elastic potential energy at the potion 1 is_______(N·m) (two decimal places) (5) The stretched spring length of the spring at the…
Fast.
The 5-kg cylinder is initially at rest when it is placed in contact with the wall B and the rotor at A. Part A If the rotor always maintains a constant clockwise angular velocity w = 6 rad/s, determine the initial angular acceleration of the cylinder. The coefficient of kinetic friction at the contacting surfaces B and C is plj; = 0.2. (Figure 1) Express your answer with the appropriate units. HÀ a = Value Units Submit Request Answer Figure B 125 mm
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration kG=0.4 m. The spring’s unstretched length is L0=1.0 m. The stiffness coefficient of the spring is k=2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is θ=30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is θ=0°. The spring’s length at the state 2 is L2=4 m. (5) The stretched spring length of the spring at the state 2 is _______(m) (two decimal places) (6) The elastic potential energy the state 2 is ___ (N·m ) (two decimal places) (7) The instantaneous center of zero velocity (IC) is (8) The mass moment of inertial about the mass center G is IG =_________(kg·m2 ) (two decimal places)
5. A motor is using a large pulley to pull a crate with a mass of m= 200 kg up a 30 degree incline. The pulley has a mass of m = 50 kg, a radius of r = 0.5 m and a radius of gyration of ko = 0.25 m. The motor supplies a torque of M = (500 +1500) N*m to the pulley. If the crate starts from rest and the coefficient of kinetic friction between the crate and ground is µ = 0.2 (assume the crate immediately starts moving, so no static friction analysis needed). Determine the speed of the crate after it travels 4m. M 777 30°
The wheel is attached to the spring. The mass of the wheel is m=20 kg. The radius of the wheel is 0.6m. The radius of gyration ke=0.4 m. The spring's unstretched length is Lo=1.0 m. The stiffness coefficient of the spring is k-2.0 N/m. The wheel is released from rest at the state 1 when the angle between the spring and the vertical direction is 8-30°. The wheel rolls without slipping and passes the position at the state 2 when the angle is 0=0°. The spring's length at the state 2 is L2=4 m. (4) The elastic potential energy at the potion 1 is_ HULKU 2₂ State 2 G m State 1 (N-m) (two decimal places)
The 136-kg spool has a radius of gyration about its mass center of kg = 300 mm. If the couple moment is applied to the spool and the coefficient of kinetic friction between the spool and the ground is u = 0.2, determine the angular acceleration of the spool, the acceleration of G and the tension in the cable. (Figure 1) Part A Determine the angular acceleration of the spool. Express your answer to three significant figures and include the appropriate units. HA a = Value Units Submit Request Answer Part B Figure < 1 of 1 Determine the acceleration of G. Express your answer to three significant figures and include the appropriate units. 0.4 m В HÀ ? 0.6 m Value Units aG = M = 450 N-m Submit Request Answer
How do I solve this problem? (engineering mechanics dynamics 8th by J.L.meriam 6-88 problem)