Question 5A solid sphere of radius R = 0.15 m and mass m = 0.9 kg purely rolls with velocity v = 1.1 m/s along a horizontal surface before striking a low curb of height h = 0.05 m. The impact with the kerb can be assumed to involve no rebound so that the ball pivots about contact point P. The moment of inertia of the sphere is IG = (2/5) mR².ӨCalculate the following:(a) the angular velocity of the ball before impact;(b) the kinetic energy of the ball before impact;gG(c) the angular momentum of the ball around contact point P just before impact (CW +ve);hint: account for both linear and angular motion in the calculationA Moving to another question will save this response.(d) the angular velocity of the ball just after impact (CW +ve).hint: calculate the moment of inertia of the ball around point P using parallel axis theoremhT<<< Question 5 of 11 > >>

Answered: Image /qna-images/answer/ba521b57-a47e-4cba-8a8a-d6502a7dc3ad.jpg

Question 5 A solid sphere of radius R=0.15 m and mass m=0.9 kg purely rolls with velocity v= 1.1 m/s along a horizontal surface before striking a low curb of height h=0.05 m. The impact with the kerb can be assumed to involve no rebound so that the ball pivots about contact point P. The moment of inertia of the sphere is lo=(2/5) mR² O₂ Calculate the following (a) the angular velocity of the ball before impact V (b) the kinetic energy of the ball before impact (c) the angular momentum of the ball around contact point P just before impact (CW+ve): hint account for both linear and angular motion in the calculation (d) the angular velocity of the ball just after impact (CW+ve). hint calculate the moment of inertia of the ball around point Pusing parallel axis theorem

Question 5 A solid sphere of radius R=0.15 m and mass m=0.9 kg purely rolls with velocity v= 1.1 m/s along a horizontal surface before striking a low curb of height h=0.05 m. The impact with the kerb can be assumed to involve no rebound so that the ball pivots about contact point P. The moment of inertia of the sphere is lo=(2/5) mR² O₂ Calculate the following (a) the angular velocity of the ball before impact V (b) the kinetic energy of the ball before impact (c) the angular momentum of the ball around contact point P just before impact (CW+ve): hint account for both linear and angular motion in the calculation (d) the angular velocity of the ball just after impact (CW+ve). hint calculate the moment of inertia of the ball around point Pusing parallel axis theorem

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

Similar questions

A solid homogeneous cylinder of radius r = 0.5m and mass of m = 100kg is rolled up a 0 20° incline by a force of P = 350N starting from rest. Compute the velocity vG of the center of mass of the cylinder into 6 seconds of motion. Note: Mass moment of inertia about G is given as IG = (1/2)mr². W,a v,a G m Your answer: 32.2 m/s 80.6 m/s 364.5 m/s 9.5 m/s 444.5 m/s 73.0 m/s
Question #1: Find the total system kinetic energy for the weight and pulley system shown in the figure below at the instant at which the downward speed of body A is 4 ft/s. Hint: kc is the radius of gyration. The radius of gyration can be used to calculate the polar moment of inertia about the center of mass by Izc = (mass)(kc)². B(32.2 lb, kc - 1 ft) %3D C 2 ft A (32.2 lb) C (96.6 lb)
The thin rod of the figure has a mass of 15kg and is attached to a spring of constant K = 50 N/m at one end, which has an unstretched length of 1.5 m. If the rod is released from rest in horizontal position (ø = 0°) and only conservative forces act on it, determine: a) What is the moment of inertia of the thin rod around the axis of rotation in A? b) What is the angle at which the rod is momentarily resting again? c) What is the maximum angular speed of the route? Please attach the free body diagram if necessary. Thank you!
Given: A uniform slender rod is at rest upon a frictionless horizontal surface when a force (F) is applied in the direction shown. Assume that the rod has mass m and length L. A L Horizontal Plane Given that F = 74lb, L = 7.1 ft, mg = 4.6lb, and 0 = 73deg What is the component of acceleration of the mass at point G in the i direction? Answer: Check What is the component of acceleration of the mass at point G in the j direction? Answer: Check What is the component of angular acceleration of the mass in the k direction? (remember your signs) Answer: Check
-The rod PQ of length L = /2 m and uniformly distributed mass of M = 10 kg, is released from %3D distributed mass of M = 10 kg, is released from %3D rest at the position shown in the figure. The ends slide along the frictionless faces OP and OQ Assume acceleration due to gravity, g = 10 m/s?. %3D The mass moment of inertia of the rod about its centre of mass and an axis perpendicular to the plane of the figure is (ML?/12). At this instant, the magnitude of angular acceleration (in radian/s2) of the rod is 2m 45°
Q2: The 5.5-kg lever OA with 250-mm radius of gyration about O is initially at rest in the vertical position (0 = 90°), where the attached spring of stiffness k = 100 N/m is unstretched. Calculate the constant moment M applied to the lever through its shaft at O which will give the lever an angular velocity w = 4 rad/s as the lever reaches the horizontal position = 0. Ans.: M = 2.95 N. CW k= 525 N/m 4 M 375 mm 200 mm 375 mm
Q. A uniform hemisphere of mass m = 5 kg. and radius r = 0.5m. is released from rest on a horizontal surface in the position when OG is horizontal as shown in the figure below. The mass centre G of the hemisphere is at a distance (3/8)r from point O and its mass moment of inertia about O is I = (2/5)mr². If the friction between the hemisphere and the horizontal surface is sufficient to prevent slipping, (3/8)r G (b) set up a global reference axes system of your choice, and draw the free body, kinematic and kinetic diagrams for the hemisphere showing all the forces and moments acting on it at the initiation of its motion, (c) write down the relevant kinetic and kinematic relationships with respect to the reference axes system, and (d) determine the angular acceleration a of the hemisphere and the frictional force F and the normal force N at the contact point.
Help me please
Q. A uniform hemisphere of mass m = 5 kg. and radius r = 0.5m. is released from rest on a horizontal surface in the position when OG is horizontal as shown in the figure below. The mass centre G of the hemisphere is at a distance (3/8)r from point O and its mass moment of inertia about O is I = (2/5)mr². If the friction between the hemisphere and the horizontal surface is sufficient to prevent slipping, (3/8)r G (a) Identify the type of ensuing motion of the hemisphere. (b) set up a global reference axes system of your choice, and draw the free body, kinematic and kinetic diagrams for the hemisphere showing all the forces and moments acting on it at the initiation of its motion, (c) write down the relevant kinetic and kinematic relationships with respect to the reference axes system, and (d) determine the angular acceleration a of the hemisphere and the frictional force F and the normal force N at the contact point.
The 100 kg cylinder has an angular velocity of 30 rad/s If the coefficient of kinetic friction is 0.2. The axle through the cylinder is connected to 2 symmetrical links (only AB is shown) Assume that the links are massless. 11 20⁰ 500 mm Mass moment of inertia (kg.m²) FAB (N) Normal force with the ground N (N) co = 30 rad/s Choose C 2 D B 200 mm
Q. A uniform hemisphere of mass m = 5 kg. and radius r = 0.5m. is released from rest on a horizontal surface in the position when OG is horizontal as shown in the figure below. The mass centre G of the hemisphere is at a distance (3/8)r from point O and its mass moment of inertia about O is I₁ = (2/5)mr². If the friction between the hemisphere and the horizontal surface is sufficient to prevent slipping, ( (3/8)r G (b) set up a global reference axes system of your choice, and draw the free body, kinematic and kinetic diagrams for the hemisphere showing all the forces and moments acting on it at the initiation of its motion, (c) write down the relevant kinetic and kinematic relationships with respect to the reference axes system, and
5. The figure shows a spherical dish of radius R = 1.00 m and a solid sphere of mass m= 250.0 grams and radius r= 4.00 centimeters. The sphere is released from rest from the position shown (0 = 52.0° with respect to the vertical line.) and it rolls without slipping down into the dish. Calculate the magnitude of the normal force the dish exerts on the sphere at the instant the sphere is at its lowest point in the dish. R m, r Horizontal