Each ball has a negligible size and their respective mass are 7-kg and 3-kg. Each ball is attached to the end of a rod whose mass may be neglected. If the rod is subjected to a torque M-t²+4 N.m, where t is in seconds, detemrine the speed of each ball when t=1. The initial speed of each baal at t=0s is 1 m/s.

Each ball has a negligible size and their respective mass are 7-kg and 3-kg. Each ball is attached to the end of a rod whose mass may be neglected. If the rod is subjected to a torque M-t²+4 N.m, where t is in seconds, detemrine the speed of each ball when t=1. The initial speed of each baal at t=0s is 1 m/s.

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 ball B has a mass of 14 kg and is attached to the end of a rod whose mass may be neglected as shown in (Figure 1). Part A: If the rod is subjected to a torque M=(3t2+5t+2) N⋅m where tt is in seconds, determine the speed of the ball when t = 2 s. The ball has a speed v= 2 m/sm/s when t = 0. Express your answer to three significant figures and include the appropriate units.
A jogger with mass m = 55 kg uses energy at a rate of P = 802 W when she jogs on horizontal ground at a constant speed of s = 3.5 m/s. The efficiency of her “human engine” however, is e = 0.27. (In other words, the power used for locomotion is e = 0.27 times the total power.) Q) Write an expression for the rate of energy expenditure whenshe jogs at the same constant speed up a slope of 4.99 degrees. Assume whatever frictional or drag forces are the same in each case. Your answer should be in terms of the symbols given in the problem statement and g(9.80 m/s^2)
A motorboat and its load weigh 2150 N. Assume that the propeller force is constant and equal to 110N, and the water resistance is numerically equal to 6.7V, where V is the speed at any instant time in m/sec. If the boat starts from rest, determine its speed at the end of 10 seconds.
Application of de A motorboat and its load weigh 2,450 N. AssumIng that the propeller force is constant and equal to 120 N, and water resistance is equal numerically to 7.50v N, where v is the speed at any instant in m/sec., and if the boat starts from rest, determine the speed and the distance traveled at the end of 10 seconds.
What allows us to make the determination that the boxes arent moving at the same velocity after being released from rest? It seems to me we would base this off of each boxes resistance to friction, but in this problem they are moving on a smooth surface. And then in this problem, we consider the boxes to move at the same velocities after the spring is released? Please explain how we can make this judgement. This is the problem: The two blocks A and B each have a mass of 5 kg and are suspended from parallel cords. A spring, having a stiffness of k=60 N/m is attached to B and is compressed 0.3 m against A and B as shown. Determine the maximum angles θ\thetaθ and ϕ\phiϕ of the cords when the blocks are releasedfrom rest and the spring becomes unstretched.
A steel ball was released from rest into a cylinder full of water. the downward acceleration up the ball is defined by the equation a=0.9g-CV. whose g is accelerating due to gravity. C=3.02/s. Det. the velocity in m/s after 0.25mins. a) Det. the dept of the ball from the water surface after 0.25 mins. b.) when of the following most nearly gives the acceleration of the ball when it reaches the bottom if the total height of the cylinder is 50 ft?
A motorboat and its load weigh 2150 N. Assume that the propeller force is constant and equal to 110N, and the water resistance is numerically equal to 6.7V, where V is the speed at any instant time in m/sec. If the boat starts from rest, determine its distance at the end of 10 seconds.
The two spheres each have a mass of 3 kg and are attached to the rod of negligible mass. If a torque M = (6e0.2t )Nm, where t is in seconds, is applied to the rod as shown, determine the speed of each of the spheres in 2s, starting from rest.
A 10 kg block A rests on a smooth surface and the spring is compressed 0.1 m. It is attached to an inextensible cord over frictionless, weightless pulleys with a mass B of kg, as shown. If the system is released from rest and B travels 0.1 m, what is A's speed? Consider K = 490N/m (spring) and V₁ = 2 x VB
For a perfectly elastic collision, u1+v1=u2+v2, or alternatively, u2−u1=v1−v2. If object 2 is initially at rest, then u2=0. Then v1−v2=−u1. However, for a partially elastic collision the relative velocity after the collision will have a smaller magnitude than the relative velocity before the collision. We can express this mathematically as v1−v2=−ru1, where r (a number less than one) is called the coefficient of restitution. For some kinds of bodies, the coefficient r is a constant, independent of v1 and v2. Show that in this case the final kinetic energy of the motion relative to the center of mass is less than the initial kinetic energy of this motion by a factor of r2. Furthermore, derive expressions for v1 and v2 in terms of u1 and r.
If a ball is dropped from a height of 5 feet, determine velocity of the ball just before impact with the ground. Let positive y be upward, so the ball will have negative velocity. Provide your answer in ft/sec, but do not include units in your submittal.
An engine of mass 50 tonnes pulls a train of mass 300 tonnes up an incline of 1 in 100. The trainstarts from rest and moves with a constant acceleration against a total resistance of 50 newtons pertonnes. If the train attains a speed of 36 km.p.h. in a distance of 1 kilometre,i) calulate the total force of engine and train. 3ii) estimate the power of the train.