A large ball of mass M = 0.96 kg and initial velocity v (m-s-1) collides plastically with a small ball of mass m = 0.13 kg in the flat segment of the frictioness rolling track in Figure Q17. Determine the minimum initial velocity v (m-s-1) of the large ball such that the collided balls overcome the two hills/bumps of the track (after the collision) if the highest point of the track is at height h = 0.56 m from the horizontal plane. Provide only the numerical value in metres per second to one decimal place (e.g. 5.1) and do not include the units in the answer box. > ↑ M A h Figure Q17: Plastic collision in frictionless rolling track

A large ball of mass M = 0.96 kg and initial velocity v (m-s-1) collides plastically with a small ball of mass m = 0.13 kg in the flat segment of the frictioness rolling track in Figure Q17. Determine the minimum initial velocity v (m-s-1) of the large ball such that the collided balls overcome the two hills/bumps of the track (after the collision) if the highest point of the track is at height h = 0.56 m from the horizontal plane. Provide only the numerical value in metres per second to one decimal place (e.g. 5.1) and do not include the units in the answer box. > ↑ M A h Figure Q17: Plastic collision in frictionless rolling track

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

The Block with a mass of 4-Kg is hung with a spring. The stiffness constant of the spring K = 10 N/cm. The block is at rest position at point A with a 4-cm stretched of spring. Block is pulled down immediately with a force F=100-N Calculate the velocity of block when it passes point B which is 5-cm away from point A. K. 10 N/cm. 4 kg. VA- O A 5.cm. F = 100-N ---- --- VB = ?
3 Problem Consider a sled, modeled as a particle P of mass m = 100 kg, moving down a snowy hill. At the instant shown the sled has a known speed v = 20 m/s. The blue segment of the track is a circular arc with radius p = 30 m, and the position of the cart (relative to the vertical) is 0 = 45 deg. The snow/ice surface has a kinetic coefficient of friction, k = 0.3. Determine an expressions for the normal force, N, acting on P and the tangential acceleration, v. Express your answer in terms of one or more of the following variables: (v, p, m, g, 0, k). Then evaluate your expression using the problem data.
A The diagram shows the instant when a long slender bar of mass 2.2 kg and length 1.5 m is horizontal. At this instant the mass m= 6.1 kg has a vertical velocity of 4.6 m/s. If the pulley has negligible mass and all friction effects may be ignored, what is the magnitude of the reaction force on the bearing A? Answer:
The simple pendulum (figure shown in Question 2) consists of a light but rigid bar of length L=0.3 m, with a ball on the end with mass M = 9.1 kg. The pendulum is released from the position shown in dashed lines. As the pendulum passes through the vertical position with an angular velocity = 5 rad/s, it strikes a sphere of mass m = 1.6 kg, which is initially at rest. Calculate the angular velocity which the pendulum has immediately after impact if the sphere moves to the left with a velocity v =3 m/s after impact. Neglect friction, and take counterclockwise rotation as positive. Your answer should be given with two decimal places, should have the correct sign, and should include the correct units.
2. A block of mass m=3 kg is sliding along a frictionless inclined surface that makes an angle of o = 30°with respect to the horizontal surface. At the lowest points of the inclined surface, a projectile is fired at a speed of v, = 12 m/s that makes an angle 8, = 45° with respect to the horizontal. Our aim of this problem is to find the time when the projectile will hit the block. e = 450 h = ? Ro= 10 m P= 30° x= ? (a) Find the time when the projectile hits the block. (Given, the initial distance between the block and the projectile along the inclined surface at t=0 is R, = 10 m as shown in the figure) Page 1 of 3 (b) Find the height h, where the projectile will hit the block. (c) Now assume that the projectile hits the block at its maximum range R along the inclined surface and the block is not sliding at all. Then find the maximum range along the inclined surface, Rmax = ?
2. A mass m and a spring of stiffness k are connected in series. The mass lies on a horizontal floor with coefficient of friction u. At t = 0, the free end of the initially unstressed spring is moved at a constant speed vo in a straight line directly away from the mass. Draw the FBD of the block, and Find: (i) the equation of motion of the block, (ii) the time ti at which the motion of the block is initiated, and (iii) the subsequent motion x(t) of the block
A smooth can C, having a mass of 5 kg, is lifted from a feed at A to a ramp at B by a rotating rod. The rod maintains a constant angular velocity of 0 = 0.5 rad/s, Neglect the effects of friction in the calculation and the size of the can so that r= (1.2 cos 0) m. The ramp from A to B is circular, having a radius of 600 mm (Figure 1) Figure 1 of 1 030.5 rad/s 600 mm 600 mm
Q3: The 3-lb collar is released from rest at A and slides freely up the inclined rod, striking the stop at B with a velocity v. The spring of stiffness k = 1.8 lb/ft has an unstretched length of 15 in. Calculate the kinetic energy and v. Note: Use the equation of principle of work and kinetic energy in solution. BAB km 1.60 llyft wwwwwwww 18" 10"
The velocity of the 7.6-kg cylinder is 0.49 m/s at a certain instant. What is its speed v after dropping an additional 1.87 m? The mass of the grooved drum is m = 10.1 kg, its centroidal radius of gyration is k = 260 mm, and the radius of its groove is r; = 225 mm. The frictional moment at O is a constant 15.3 N-m. Assume r, = 345 mm. m Answer: v = i m/s
9. 2) The target is a thin 4.3-kg circular disk of radius r= 273 mm that can rotate freely about the z axis. Initially it is at rest. A 21-g bullet, traveling at v = 630 m/s, strikes the target at A and becomes embedded in it. The dimensions are di = 219 mm and d2 = 90 mm. If the impact time is 0.02 s, determine the average impact force between the bullet and the target. Please pay attention: the numbers may change since they are randomized. Your answer must include 2 places after the decimal point, and proper Sl unit. Take g = 9.81 m/s?. 'pe
A spherical bowling ball with mass m = 4.6 kg and radius R = 0.105 m is thrown down the lane with an initial speed of v = 9.5 m/s. The coefficient of static friction between the ball and the ground is 0.35 and the coefficient for kinetic friction is μ = 0.3. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down the lane? 2) What is magnitude of the linear acceleration of the bowling ball as it slides down the lane? 3) How long does it take the bowling ball to begin rolling without slipping? 4) Once it begins to roll without slipping, what is the force of friction on the ball?
A 10kg block is released from rest at point A the in figure shown. The track is frictionless except for the portion between points B and C, which has a length of 6m. The block travels down the track, hits a spring of force constant 2250N/m and compresses the spring 0.3m from its cquilibrium position before coming to rest momentarily. You may assume that the spring has negligible mass.