### Understanding Angular and Linear Velocity of a Rectangular Plate under Horizontal Impulses**Problem Statement:**A 29-pound rectangular plate is at rest on a smooth horizontal floor. It is subjected to horizontal impulses as illustrated in **Figure 1**. Assume impulse \(I = 20 \text{ lb} \cdot \text{s}\).#### Figure 1: Diagram and DimensionsThe diagram shows a rectangular plate with the following dimensions:- Length: 1 ft.- Width: 0.5 ft.Two forces are applied:- A 5 lb・s impulse at a point 0.5 ft from the right edge and 60 degrees downwards to the right.- A 20 lb・s impulse acting horizontally to the left at a point 0.5 ft from the left edge.### Part A: Determine Angular Velocity**Objective:**To calculate the angular velocity (ω) of the rectangular plate in radians per second (rad/s).**Attempted Solution:**An attempt was made to input the angular velocity as 37.747 rad/s, but this answer was marked incorrect.**Steps to Determine Angular Velocity:**1. Identify the center of mass and distribution of impulses.2. Calculate the moments generated by the impulses about the center of mass.3. Apply the principle of angular impulse and momentum to solve for angular velocity.### Part B: Determine Linear Velocity of Mass Center**Objective:**To calculate the linear velocity (\(v_G\)) of the mass center of the plate in feet per second (ft/s).**Attempted Solution:**An attempt was made to input the linear velocity as 22.2 ft/s, which seems to be correct (indicated by the checkmark).**Steps to Determine Linear Velocity:**1. Apply the principle of linear impulse and momentum.2. Sum the horizontal components of the impulses.3. Use the mass of the plate to find the resulting velocity.### Conclusion:- For Part A, revisit the approach used to calculate the moments and angular velocity to correct the error.- For Part B, the calculation of the linear velocity is confirmed to be accurate.Understanding the proper application of impulse and momentum principles is crucial for accurately determining both the angular and linear velocity of the system.

The 29-1b rectangular plate is at rest on a smooth horizontal floor. It is given the horizontal impulses as shown in (Eigure 1). Assume I = 20 lb-s. Figure 0.5 ft 5 lb-s -2 ft -0.5 ft- < 1 of 1 > I ft Part A Determine its angular velocity. Express your answer in radians per second to three significant figures. w=37.747 VE] ΑΣΦΙ1 | vec Submit Previous Answers Request Answer * Incorrect; Try Again; 4 attempts remaining Part B Submit Determine the magnitude of the velocity of the mass center. Express your answer in feet per second to three significant figures. VG = 22.2 ft/s ? Previous Answers rad/s

The 29-1b rectangular plate is at rest on a smooth horizontal floor. It is given the horizontal impulses as shown in (Eigure 1). Assume I = 20 lb-s. Figure 0.5 ft 5 lb-s -2 ft -0.5 ft- < 1 of 1 > I ft Part A Determine its angular velocity. Express your answer in radians per second to three significant figures. w=37.747 VE] ΑΣΦΙ1 | vec Submit Previous Answers Request Answer * Incorrect; Try Again; 4 attempts remaining Part B Submit Determine the magnitude of the velocity of the mass center. Express your answer in feet per second to three significant figures. VG = 22.2 ft/s ? Previous Answers rad/s

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter9: Linear Momentum And Collisions

Section: Chapter Questions

Problem 9.1OQ: You are standing on a saucer-shaped sled at rest in the middle of a frictionless ice rink. Your lab...

See similar textbooks

Related questions

Q: Consider the system shown in (Eigure 1). Figure 6 m B 45 4 m F C 4 m 6 m 1 of 1 > Determine the x,…

Q: Angular Momentum of Point Particle: The relation Z=1 only holds for a symmetric object rotating…

Q: cion 4 A 10 kg particle moves in the xy plane with a velocity of v = (3.2 i -6.1 j) m/s. Determine…

A: Given: mass m=10 kgv→=3.2 i^-6.1 j^ m/sr→=3i^+2.2 j^ m

Q: Situation 5. The two disks A and B have a mass of 3kg and 5kg, respectively. If they collide with…

Q: collide with the velocities shown. The radius of A is 50 mm, and its mass is 0.4 kg. Disk B has a…

A: we know that velocity after oblique collision VA1 = (m1- e m2m1+m2 )VA + (m2+e m2 /m1+m2)VB VB1 =…

Q: Determine the moment of the force about point O. 3 ft 1 ft 45° 1 sin 45° ft 60 lb

A: Moment of force=Force*perpedicular distance from axis of rotation to line of action.

Q: A spherical ball of mass M and radius Rrolls without slipping on a level surface with its center of…

A: Given : vcm = √35 m/s Isphere = 2/5 MR2

Q: The 29-1b rectangular plate is at rest on a smooth horizontal floor. It is given the horizontal…

A: Form given free body diagram and dataalong positive x axis, take conservation of momentum…

Q: Situation 5. The two disks A and B have a mass of 3kg and 5kg, respectively. If they collide with…

Q: Figure Axle 600 rpm 1 of 1 y Part A What is the angular momentum vector of the 2.0 kg,…

A: Calculate the angular velocity of disk. ω=2πN60ω=2π(600)60ω=62.83 rpm

Q: A.) Find the angular momentum about the origin of each of the particles shown below. B.) what is the…

Q: 1978M1. An amusement park ride consists of a ring of radius A from which hang ropes of length éwith…

Q: A particle moves that is defined by the parametric equations x = 3t² - 1 y = t³ — 3t² +t-3 (where x…

A: Given data: Parametric equations: x=3t2-1 y=t3-3t2+t-3 To Find: Angular velocity at t = 2 s, ω…

Q: Below four different load arrangements are show for a meter stick. For each case the masses are…

A: The answer is given below

Q: The plate shown moves in the xy plane. Knowing that (va)_x = 165 mm/s, (vb)_y = 180mm/s, and (vc)_y…

Q: A main sequence star of mass, M, and radius, R, collapses to a white dwarf star with a radius 1.0%…

A: To solve the given question, we will use conservation of angular momentum.

Q: Which of the following statements is correct regarding Kepler's three laws of planetary motion?…

A: Let's check each option one by one Angular momentum of any planet about an axis through the sun and…

Q: Two small 0.55-kg masses are attached to opposite ends of a very lightweight rigid rod 0.7 m long.…

A: mass(m)=0.55 kg length of rod=0.7m radius(r)=0.35m speed(v)=0.85 m/s

Q: For the figure shown if F= 70 lb and 0-25 deg. Moreover, the moment produced by force F about the…

Q: 1. The launcher is set to launch a projectile horizontally. Once launched, the projectile will…

A: The objective of the first part of the question is to calculate the total momentum of the system…

Q: Pdep%323622379&tags=Dautosave#ques 9&tags%3Dautosave#ques nd on page Enter text to search No results…

Q: A uniform rod of lenght L=20 cm and mass M-1 kg is lying on a frictionless table. You slide a small…

Q: Q: A uniform semicircular plate of thickness d and radius R is pivoted about an axis perpendicular…

Q: Calculate the magnitude of the linear momentum po of a 33.6 kg object on the Equator, as measured…

A: First we will calculate the speed of rotation of the earth using the radius of earth and the time…

Q: F₁ = (1001 - 125j + 95k) Ib and F₂ = (-2101 + 280j + 100k) Ib, determine the resultant moment…

A: The coordinates of O are (0,0,0)Coordinates of A are (4,5,3)Force F1 = 100i -125j+95k lb ; F2 =…

Q: Before After m M Nail (pivot) M (a) (b) Figure 1. A stick nailed to a table is hit by a disk. The…

Q: a.) Determine the magnitude of the resultant. b.) Determine the moment about the origin. c.)…

Q: Object A approaches object B which is stationary. Velocity of object A is V = 28i + 5j - 3k in m/s.…

Q: A cylindrical drum 2 m in radius is held by a rigid bar AB hinged at A and a flexible wire BO. The…

Q: Required information Particle A has a mass of 5.40 g and particle B has a mass of 1.80 g. Particle A…

A: Given value--- mass of particle A = 5.4 g. position = (0,0) . mass of particle B = 1.8 g. position…

Q: 2. Find the y-coordinate of point A so that the 361-lb force will have a clockwise moment of 400…

Question

### Understanding Angular and Linear Velocity of a Rectangular Plate under Horizontal Impulses

**Problem Statement:**
A 29-pound rectangular plate is at rest on a smooth horizontal floor. It is subjected to horizontal impulses as illustrated in **Figure 1**. Assume impulse \(I = 20 \text{ lb} \cdot \text{s}\).

#### Figure 1: Diagram and Dimensions

The diagram shows a rectangular plate with the following dimensions:
- Length: 1 ft.
- Width: 0.5 ft.

Two forces are applied:
- A 5 lb・s impulse at a point 0.5 ft from the right edge and 60 degrees downwards to the right.
- A 20 lb・s impulse acting horizontally to the left at a point 0.5 ft from the left edge.

### Part A: Determine Angular Velocity

**Objective:**
To calculate the angular velocity (ω) of the rectangular plate in radians per second (rad/s).

**Attempted Solution:**
An attempt was made to input the angular velocity as 37.747 rad/s, but this answer was marked incorrect.

**Steps to Determine Angular Velocity:**
1. Identify the center of mass and distribution of impulses.
2. Calculate the moments generated by the impulses about the center of mass.
3. Apply the principle of angular impulse and momentum to solve for angular velocity.

### Part B: Determine Linear Velocity of Mass Center

**Objective:**
To calculate the linear velocity (\(v_G\)) of the mass center of the plate in feet per second (ft/s).

**Attempted Solution:**
An attempt was made to input the linear velocity as 22.2 ft/s, which seems to be correct (indicated by the checkmark).

**Steps to Determine Linear Velocity:**
1. Apply the principle of linear impulse and momentum.
2. Sum the horizontal components of the impulses.
3. Use the mass of the plate to find the resulting velocity.

### Conclusion:
- For Part A, revisit the approach used to calculate the moments and angular velocity to correct the error.
- For Part B, the calculation of the linear velocity is confirmed to be accurate.

Understanding the proper application of impulse and momentum principles is crucial for accurately determining both the angular and linear velocity of the system.

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: Finding Angular velocity.

VIEW

Step 2: Determining the magnitude of the velocity.

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 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, physics and related others by exploring similar questions and additional content below.

Similar questions

A crate of mass M is initially at rest on a level, frictionless table. A small block of mass m (m M) moves toward the crate as shown in Figure P11.13. After the collision, the block sticks to the crate. Is the magnitude of the impulse exerted on the crate by the block greater than, less than, or equal to the magnitude of the impulse exerted on the block by the crate during the collision process? Explain. FIGURE P11.13
A car crashes into a large tree that does not move. The car goes from 30 m/s to 0 in 1.3 m. (a) What impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) What is the average force applied to the driver by the seatbelt?
A 1.25-kg wooden block rests on a table over a large hole as in Figure P9.39. A 5.00-g bullet with an initial velocity vi is fired upward into the bottom of the block and remains in the block after the collision. The block and bullet rise to a maximum height of 22.0 cm. (a) Describe how you would find the initial velocity of the bullet using ideas you have learned in this chapter. (b) Calculate the initial velocity of the bullet from the information provided. Figure P9.39 Problems 39 and 40.
(a) Calculate the momentum of a 2000-kg elephant charging a hunter at a speed of 7.50 m/s. (b) Compare the elephant's momentum with the momentum of a 0.0400-kg tranquilizer dart fired at a speed of 600 m/s. (c) What is the momentum of the 90.0-kg hunter running at 7.40 m/s after missing the elephant?
Your physical education teacher throws a baseball to you at a certain speed and you catch it. The teacher is next going to throw you a medicine ball whose mass is ten times the mass of the baseball. You are given the following choices: You can have the medicine ball thrown with (a) the same speed as the baseball, (b) the same momentum, or (c) the same kinetic energy. Rank these choices from easiest to hardest to catch.
(a) At what speed would a 2.00104 -kg airplane have to fly to have a momentum of 1.60109kgm/s (the same as the ship's momentum in the problem above)? (b) What is the plane's momentum when it is taking off at a speed of 60.0 m/s? (c) If the ship is an aircraft carrier that launches these airplanes with a catapult, discuss the implications of your answer to (b) as it relates to recoil effects of the catapult on the ship.
A wooden block of mass M rests on a table over a large hole as in Figure P9.39. A bullet of mass m with an initial velocity of vi is fired upward into the bottom of the block and remains in the block after the collision. The block and bullet rise to a maximum height of h. (a) Describe how you would find the initial velocity of the bullet using ideas you have learned in this chapter. (b) Find an expression for the initial velocity of the bullet. Figure P9.39 Problems 39 and 40.
A 0.240-kg billiard ball that is moving at 3.00 m/s strikes the bumper of a pool table and bounces straight back at 2.40 m/s (80% of its original speed). The collision lasts 0.0150 s. (a) Calculate the average force exerted on the ball by the bumper. (b) How much kinetic energy in joules is lost during the collision? (c) What percent of the original energy is left?
Figure 8.16 shows a cube at rest and a small object heading toward it. (a) Describe the directions (angle 1 ) at which the small object can emerge after colliding elastically with the cube. How does 1 depend on b, the so-called impact parameter? Ignore any effects that might be due to rotation after the collision, and assume that the cube is much more massive than the small object. (b) Answer the same questions if the small object instead collides with a massive sphere. Figure 8.16 A small object approaches a collision with a much more massive cube, after which its velocity has the direction 1. The angles at which the small object can be scattered are determined by the shape of the object it strikes and the impact parameter b.
An elephant and a hunter are having a confrontation. a. Calculate the momentum of the 2000.0-kg elephant charging the hunter at a speed of 7.50 m/s. b. Calculate the ratio of the elephant’s momentum to the momentum of a 0.0400-kg tranquilizer dart fired at a speed of 600 m/s. c. What is the momentum of the 90.0-kg hunter running at 7.40 m/s after missing the elephant?
An object that has a small mass and an object that has a large mass have the same momentum. Which object has the largest kinetic energy?
(a) What is the mass of a large ship that has a momentum of 1.60109kgm/s, when the ship is moving at a speed of 48.0 km/h? (b) Compare the ship's momentum to the momentum of a 1100-kg artillery shell fired at a speed of 1200 m/s.