3/60 A child twirls a small 50-g ball attached to the end ofa l-m string so that the ball traces a circle in a verti-cal plane as shown. What is the minimum speed vwhich the ball must have when in position 1? If thisspeed is maintained throughout the circle, calculatethe tension T in the string when the ball is in posi-tion 2. Neglect any small motion of the child's hand.1mProblem 3/60

Answered: Image /qna-images/answer/3e346966-1833-49a5-bbb4-a1709e773675.jpg

Answered: A child twirls a small 50-g ball…

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

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4 Problem A particle of mass m is attached to a spring, as shown below. Initially, the spring is unstretched with length lo and at rest. The spring constant is k. An impulse is applied to give an initial ve- locity vo in the direction a. The motion occurs in the horizontal plane (ignore gravity and friction). Part A: What is the angular impulse about point O required to produce this speed and direc- tion? Part B: Show that the equations of motion for the position of particle P with respect to O (in a polar frame) are as follows: +r0², where r is the distance of P with respect to O and is the corresponding angle measured counter- clockwise from the horizontal. O - 2r0 1 -k(r-lo) m Ÿ = k- (Hint: Define a polar reference frame and use Newton's Second Law (angular momentum form, Mp/0 = (hp/o) to find and use Newton's Second Law (standard form, Fp = mpap/o) with the polar acceleration to find r.) Values: lo = 1 m, mp = 2 kg, vo = 3 m/s, a = 45 deg. (1) (2) lo No
Please solve using the impulse momentum equation with explanation . (Please draw the diagram,It's mandatory)
What is the smallest acceleration that bar A needs to move horizontally to maintain bodies 1 and 2 motionless with respect to the bar? The bodies' masses are the same, and there is k times as much friction between them and the bar. The pulley's mass and threads are insignificant, and there is no friction within. A 2
In a conceptual design, the power to move a bus comes from the energy stored in an onboard rotating flywheel. The flywheel has a mass of 1500 kg, a radius of gyration of 500 mm, and is brought to a maximum speed of 4000 rpm. If the bus starts from rest and acquires a speed of 72 kph at the top of a hill 20 m above the starting position, find the reduced speed of the flywheel. Assume 10% of the energy of the flywheel is lost due to frictional effects. Neglect the energy of the bus contained in the rotation of the wheels. The bus with flywheel is 10,000 kg. H Type here to search ThinkVision Esc @ 2 W F1 # 3 O E $ 4 F3 R % 5 F4 A 6 A F5 28 7 F6 8 F7 ( 9 F8 0 Fe F10 F11 F12 Backspace Prirk Scroon Sys Piq Insert Scroll Lock 00 Home Pause Break Page Up Man Lock 13000 37°F Cloudy (10) F 2:12 PM 4) 11/16/202 Lenovo
5. The coefficient of static friction between the flat bed of the truck and the crate it carries as shown in Figure 5 is µ, = 0.30. (a) Set up the appropriate global axes system and draw the free body, kinematic and kinetic diagrams of the crate on the bed. (b) Determine the maximum acceleration amax and hence the maximum velocity Vmax which the truck can acquire from rest in a distance of 50m up a 10-percent grade if the crate is not to slip backward. (c) If the truck was travelling on a horizontal road with the maximum speed you have determined in part (a) above, would the minimum stopping distance be different than 50 m as given above if the crate is not to slip? Give a brief engineering explanation in support of your answer. 10 Figure 5
The total weight of the go-cart and driver is 290 lb. The location of their combined center of mass is shown. The rear drive wheels together exert a 28 lb horizontal force on the track. Neglect the horizontal forces exerted on the front wheels. Assume the go-cart accelerates from rest to the right. (Figure 1) Part A What is the magnitude of the go-cart's acceleration? Express your answer with the appropriate units. HA ? Value Units a = Submit Request Answer • Part B What normal force is exerted on the tire at A? Express your answer with the appropriate units. ? NA = Value Units Submit Request Answer Part C What normal force is exerted on the tire at B? Express your answer with the appropriate units. Figure HÀ NB = Value Units Submit Request Answer 15 in < Return to Assignment Provide Feedback 6 in 16 in 60 in P Pearson
Problem-2 A train starts from rest at station A and accelerates at 0.5m/s? for 60 s. Afterwards it travels with a constant velocity for 15 min. It then decelerates at 1m/s? until it is brought to rest at station B. Determine the distance between the stations.
Solve the following problem (NOTE: Use any reasonable DATA not given in the problem.)
will rate if correct
2. Now consider the pulley problem shown below. In this problem, both blocks have mass m m m (a) At the instant shown, the block on the horizontal surface is moving to the right with speed v. At this instant, what is the velocity of the other block? (b) What is the acceleration of the block on the right?
A particle P of mass m = 3 kg arrives at point O with a horizontal velocity and starts rolling down a circle with radius R = 1.5 m. The particle is attached to the point O by means of a linear spring of stiffness k = 50 N/m that is unstretched when the particle is at O. Assume that during the motion of P along the circle, the spring follows the circle. Let N = {x, ây} be a fixed reference frame as shown in the figure and let B = {bx, by} be a reference frame attached to P so that b is tangent to the circular path and by is perpendicular to the circular path. For convenience, take g = 10 m/s² in this question. ny ĤT IP
ATWOOD'S MACHINE Draw a free body diagram of m1 and another free body diagram of m2. Using these diagrams, apply Newton’s second law to each mass. Assume that the tension is the same on each mass and that they have the same acceleration. From these two equations, find an expression for the acceleration of m1 in terms of m1, m2, and g. Compare the expression to your result in Step 5 of Analysis.

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