B/115 The position vector of a particle is given by r 8ti + 1.2tj - 0.5(tª – 1)k, where t is the time in seconds from the start of the motion and where r is expressed in meters. For the condition when t = 4 s, determine the power P developed by the force F = 40i – 20j - 36k N which acts on the particle. %3D

B/115 The position vector of a particle is given by r 8ti + 1.2tj - 0.5(tª – 1)k, where t is the time in seconds from the start of the motion and where r is expressed in meters. For the condition when t = 4 s, determine the power P developed by the force F = 40i – 20j - 36k N which acts on the particle. %3D

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

Dynamic Lesson The ski and the rider, with a total mass of 90 kg, are moving along the curved path in the shape. Since the equation of the curvilinear path is determined as y = 0.08x2 and the speed at x = 10 m is known as 5 m / s, the skier at this pointa) The rate of increase in speed,b) Obtain the value of the Normal force applied to ski.
Determine the magnitude of the resultant force acting on a 5-kg particle at the instant t = 2 s, if the particle is moving along a horizontal path defined by the equations r = (2t + 10) m and theta = (1.5t^2 - 6t) rad, where t is in seconds.
The ski and the rider, with a total mass of 90 kg, are moving along the curved path. Since the equation of the curvilinear path is determined as y = 0.08x2 and the speed at x = 10 m is known as 5 m / s, find the value of a) the rate of increase in the speed of the skier at this point, b) the normal force applied to skiing.
The 50-lb crate is subjected to the force F = 40 lb. The coefficient of kinetic friction between the crate and the ground is µk = 0.2. If the crate is initially moving to the right with a velocity of 3 ft/s, determine A) The speed of the block when t = 8 s. B) The power developed by force F at t = 8 s.
The horizontal motion of the plunger and shaft is arrested by the resistance of the attached disk which moves through the oil bath. The velocity of the plunger is v0 = 3.1 m/s in the position A where x = 0 and t = 0, and the deceleration is proportional to v so that a = -kv where k = 0.32 s-1. Find (a) the velocity when t = 2.9 s, (b) the position x when t = 2.9 s, (c) the velocity when x = 4.2 m.
The initially stationary 12-kg block is subjected to the time-varying force whose magnitude P is shown in the plot. The 30o angle remains constant. Determine the block speed at (a) t = 1 ? and (b) t = 4 ? .
5. A slider of mass 10 kg moves along a slipway as shown. The spring has a value of K = 60 N/m and when the slider is stationary atAt position A, the spring is stretched for a distance of 0.6 m. moves through point CAt a speed of 1.2 m/s, find the magnitude of the force acting on the end of the rope.
A mine car has a mass m = 250 kg and it is hoisted up theincline using the cable and motor M.The force in the cable is F(t) = 1050 + (45)(t^2) , N where t is inseconds.If the car has an initial velocity V1 =3 m/s at s = 0 and t = 0. 1) What is the velocity of the car when t = 3 s. 2) What is the distance it moves up the plane when t = 3 s.
The 4-lb collar is compressed against a spring a distance of 6 inches and then releasedfrom rest. The spring can be considered elastic and has a constant of k = 10 lb/in. Thespring is not adhered to the collar, and can be considered massless, so it will notextend into tension. Plot the acceleration of the collar as a function of x for x = 0 to 7 inches.What is the velocity as the collar leaves the spring?
Given a 1400 kg car traveling along a route with an increasing vertical profile y=0.0003x^2. Determine the x-component of the car's velocity (m/s) and the total force (kN) if the constant velocity is 30 m/s and the distance is 210m. Hint: A line's slope is equal to tan theta, where theta is an angle measured from the x-axis.
The 1.5 Mg car increases its speed uniformly from rest to 36 m/s in 8 s up the inclined road. Determine the maximum power that must be supplied by the engine, which operates with an efficiency of ε = 0.42. Also, find the average power supplied by the engine. Please show every single step of the process thanks
3. Determine the velocity and displacement of the body after 4 seconds. The motion of the body is defined by the relation a = -8/S2 where a in m/s2 and S in meter. And it is known that S = 4 m and V = 2 m/s when t = 1 sec. Pls show complete solution