Q.4(a) The mine car of mass 200 kg is hoisted up using the cable and motor M. Theforce of the cable is given by F= 4000t2. The initial velocity of the mine caris 2 m/s when t=0. Given that c = 8 and d = 15.(i)Obtain the acceleration and velocity equations for the system.(ii) Examine the distance when the mine car moves up in 2 s.earlyCFigure Q.4(a)M(b) A block weighing 20 kg rest on a rough surface with the coefficient of kineticfriction, p=0.3. A force F=(22+ s2) N, where s is in meter, acts in the directiondepicted in Figure Q.4(b) on the block. The spring is originally unstretched andmove the block from a position s=s, and a speed v=v/ to a position s = $2 and aspeed v=v2. Given that at position s/=0 the block is at rest and s2 = 0.5 m.(i) Using the principle of work and energy, calculate speed v2(ii) Calculate the power generated to move the block to s2 k=5 N/mFigure Q.4(b)20°F

Hi, since you have posted multiple questions, thus we solve "4 a" for you and for the rest of the…

Q.4 (a) The mine car of mass 200 kg is hoisted up using the cable and motor M. The force of the cable is given by F= 4000t². The initial velocity of the mine car is 2 m/s when=0. Given that c= 8 and d = 15. (i) Obtain the acceleration and velocity equations for the system. (ii) Examine the distance when the mine car moves up in 2 s. M

Q.4 (a) The mine car of mass 200 kg is hoisted up using the cable and motor M. The force of the cable is given by F= 4000t². The initial velocity of the mine car is 2 m/s when=0. Given that c= 8 and d = 15. (i) Obtain the acceleration and velocity equations for the system. (ii) Examine the distance when the mine car moves up in 2 s. M

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

block C mass = 99 kg block D mass = 66kg horizontal force (H) = 555N and is applied at block D. Angle = 32.779 degrees note: Ignore friction. Computations must follow D'Alembert's Principle or else the solution is null and void. And answers should be in Newtons or KiloNewtons 1.) Calculate the Normal Force of Contact between blocks D and C. 2.) Determine the Block D Acceleration 3.) Determine the Block C Acceleration
b) Figure Q1 below shows two blocks, A, and B each with mass 60 kg and 150 kg respectively. The blocks are connected by pulleys. If block B is moving down the 60° indline plane with coefficient of kinetic friction of u. = 0.15 and the mass of the pulley and cords are negligible, i) Draw the free body diagram and kinetic diagram for block A, B and pulley D ii) Write down the equation for acceleration of block A in terms of block B. A 60 Figure Q1
Note: use g=10 m/s2 In your calculations 1,R Two blocks with masses m and mz are connected by a light string passing over a pulley of radius R and moment of inertia I. The kinetic 1. friction coefficient between the boxes and inclined planes are respectively given by 1 and uz. The system starts from its rest position, and motion sets in the direction of mass m2. (a) Write an expression for the linear acceleration a as a function of the parameters m, m2, Hsr Hz, R, I and inclination angles. (b) For the given system parameters: m1(kg) m2(kg) 01(0) 02(*) I(kg.m²) R(m) 1.5 3.5 45 60 3.0 1.5 Fill in the following table for string tension forces and accelerations corresponding to the given two cases: - Case 1: Inclined planes with kinetic friction coefficients u, = 0.2 and uz = 0.8. - Case 2: Frictionless planes and ignorable mass of the disk. Table 1: Problem 1 (Express your answer in three decimal places) T(N) T2(N) a (m/s²) a (rad/s²) Case-1 Case-2
A spring with a spring constant of 1200lbf/ft is attached to block with a mass of 96.6lbm horizontally. It was initially displaced 3 inches to the left of the equilibrium position and released at 12in/s going to the right. Determine also the c) acceleration 2 seconds after the push in ft/s2 *
In a governor of the Hartnell type the arms of the bell-crank leversare equal in length, and those carrying the operating masses arevertical when the governor is rotating at its mean speed of 775rev/min, with the masses moving in a circle of 175 mm diameter -The usual central controlling spring is replaced by two paralleltension springs direetly connecting the operating masses. Find(a) the magnitude of each operating mass if a force of 90 N isrequired at the sleeve to maintain it in the mean speed positionwhen the specd is increased from 775 to 800 rev/m in(b) the stiffness, or rate, of each spring if the ratio of sleevemovement to increase of speed is 1 mm to 10 revImin when inthe mean speed position.
3 Problem A ball of mass m is connected to a rod of length L and swings around the axis O. At some instant, the rod is at an angle and the mass has speed v. Determine the tension in the rod, T, and the rate at which the speed of the mass is increasing, v. Values: g = 9.81 m/s², 0 = 20 deg., m = 30 kg, L = 4 m, v =4 m/s. L m
Two bodies of masses 10 kg and 15 kg are hung from the ends of an extensible rope passing over a frictionless pulley. If masses of both the bodies are doubled, the acceleration of the system will also be doubled. Select one: O True O False
2 Problem The mechanized arm shown below is simulatenously rotating upward and extending as it holds a circular widget of mass 2 kg in its claw. At the instant shown, 0 = 45 deg., 0 = 30 deg/s. * = 120 deg/s², and L = 0.4m, L = 0.5 m/s, and Ï = -0.3 m/s². The constant length d = 1 m. Determine the components of the gripper's force exerted on the widget. Express the total force in components of the polar frame. Compare your answer with the total force on the widget if the mechanized arm suddenly stops and remains at rest. 0 L ----- B
A. A motorcycle and rider have a combined mass of 350kg. The wheels each have a mass of 20kg, diameter of 500mm and radius of gyration of 200mm. The rider accelerates uniformly from 5m/s to 25m/s over a distance of 100m, whilst climbing a hill of slope 1 in 20. The average resistance to motion, including drag, is 105 N. 1. Determine the total work done as the motorcycle ascends the incline. 2. Calculate the amount of power developed during the climb. B. At another point in its journey, the motorcycle and rider travel at 80 km/h around a left-hand bend of radius 30m. Calculate: 1. The angular velocity of each of the wheels. 2. The moment of inertia of each wheel. 3. The magnitude and effect of the gyroscopic torque produced on the bike.
5. Three blocks are connected over two frictionless, massless pulleys by two inextensible, massless cords as shown in the figure. There is friction between block m and the horizontal surface of the table. If the block m, moves downward after being released from rest, then what is the magnitude of the acceleration of the blocks and the magnitude of the tension in the cords in terms of the masses of the blocks m, , and ms, the coefficient of kinetic friction between block my and the table, a. and the acceleration due to gravity, g. Include a force diagram or free-body diagram of the situation.
1. A 25-kg box is attached to two light ropes and is being pulled in a frictionless, horizontal floor. The two forces pulling the box is given by: Fjis 15 N due east, and F,is 10 N due north. A. What are the forces acting on the box? Identify whether contact or noncontact force. B. Identify the action-reaction pairs. C. What is the acceleration of the box?
4. A concrete weight of 125 kg is released from standstill and a log of mass 200 kg is moved along an inclined area of 30° to the horizontal.When the concrete weight is moved down 5 m, find that 1. What is the speed of the log? 2. What is the movement time of the concrete drum?