A pendulum of mass M₁=1 kg and length L = 0.75 m is released from rest in the horizontal position as shown below. When it reaches its lowest point it collides elastically with a stationary block of mass M₂ = 2 kg resting on a frictionless horizontal surface. The 2-kg mass then collides with a spring. Calculate the maximum compression of the spring. (10 Ste

A pendulum of mass M₁=1 kg and length L = 0.75 m is released from rest in the horizontal position as shown below. When it reaches its lowest point it collides elastically with a stationary block of mass M₂ = 2 kg resting on a frictionless horizontal surface. The 2-kg mass then collides with a spring. Calculate the maximum compression of the spring. (10 Ste

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

A block of mass m= 2.0 kg is released from rest on an inclined plane at a height of h = 1.5 m. It moves down the rough incline with slope theta= 30.0°and continues on the horizontal frictionless surface. As shown in the figure, there is a spring with negligible mass and force constant k = 300 N/m. The coefficient of kinetic friction between the block and the incline is 0.250 What is the speed of the block when it gets down on the horizontal surface before it touches the spring? The box continues to move on the horizontal surface and compresses the spring. What will be the maximum compression of the spring?
Q.1) A 50 kg block is dropped from a height of 2 m onto the the 20 kg pan of a spring scale.Assuming the impact to be perfectly plastic, determine the maximum deflection of the pan.The constant of the spring is k = 20 kN/m.Q.2) Answer the following questions:a) Why does any person lean towards right while carrying a bag in her left hand?b) Give the physical significance of moment of inertia.c) Two satellites of equal masses, which can be considered as particles areorbiting the earth at different heights? Will their moments of inertia be same ordifferent?Q.3) A 5-kg model rocket is launched vertically and reaches an altitude of 100 m with a speedof 40 m/s at the end of powered flight, time t=5 s. As the rocket approaches its maximumaltitude it explodes into two parts of masses mA=1.7 kg and mB=3.3 kg. Part A is observed tostrike the ground 50 m west of the launch point at t=6 s. Determine the position of part B atthat time.
The spring constants are k1 = 140N / m, k2 = 240N / m and the unstretched lengths of the springs are 0.3 m. If the 6 kg ring is released from rest from point A, calculate its velocity when it reaches point B. According to the given datum line, the total potential energy (Ve) at point A is A = 1116.86 J and the total elastic potential energy (Ve) at point B is B = 370.8 J. Neglect the dimensions of the bracelet. (L1 = 0.90 m, L2 = 1.80 m, h1 = 1.20 m and h2 = 2.40 m)
The lower block of mass m2 = 3.2 kg is pulled on by a rope with a tension force of 28 N. The upper block has mass m1 = 1.8 kg. The coefficient of kinetic friction between the lower block and the surface is 0.32. The coefficient of kinetic friction between the lower block and the upper block is also 0.32. What is the acceleration of the 3.2 kg block?
(The complete question is in the picture) Consider a 2.0 [kg] box that is attached to two identical springs that are in their relaxed state when the block is centered on the frictionless horizontal floor. The box is pressed to the left and then was released from rest as shown in the figure. If work done by the left spring is Wby spring = 25 [J], what is the speed of the boxas it passes the center x = 0? A. 8.2 [m/s]B. 7.1 [m/s]C. 3.5 [m/s]D. zero
Activity 3. A body that weighs W Newtons falls from rest from a height of 600mm and strikes a spring whose scale is 7.00 N/mm. If the maximum compression of the spring is 150 mm, what is the value of W? Disregard the mass of the spring.
The system is released from rest in the position shown.Cylinder B falls through the hole in the bracket, but ring C (shown in section) separates from the cylinder when it hits the bracket.The coefficient of kinetic friction between block A and the inclined ramp is μk = 0.2, and the mass of the pulley is negligible.(a) Determine the speed of block A at the moment ring C strikes the support. Express the answer in m/s. Consider the following values:mA = 48kgmB = 12kgmC = 15kgθ = 31°h = 1.2m
The boxes in the picture (A has a mass of 1.6kg and B has a mass of 4.4kg) are connected with an unstretchable and massless rope. They are released from rest at a level with an angle θ = 50∘. The coefficient of friction between the boxes is μ = 0.24. Friction between box B and the slide can be ignored. a) What is the amount of frictional force between the boxes? b) What is the magnitude of the acceleration of the boxes? c) What is the rope force?
To understand how the conservation of energy and Newton's second law can be combined to solve kinetic problems. As shown, a large globe has a radius R and a frictionless surface. A small block with mass m starts sliding from rest at the top of the globe and slides along the globe’s surface. The block leaves the globe’s surface when it reaches a height hl above the ground. The system’s geometry is shown for an arbitrary height h. (Figure 1) Note that the subscripts used in this problem is the letter l and not the number 1. Consider what happens when the block leaves the globe’s surface. Which of the following statement or statements are correct? The net acceleration of the block is directed straight down. The component of the force of gravity toward the globe’s center is equal to the normal force’s magnitude. The force of gravity is the only force acting on the block.Consider what happens when the block leaves the globe’s surface. Which of the following statement or statements are…
To use the principle of work and energy to determine characteristics of a system of particles, including final velocities and positions. The two blocks shown have masses of mA = 56 kg and mB = 74 kg . The coefficient of kinetic friction between block A and the inclined plane is μk = 0.15 . The angle of the inclined plane is given by θ = 40 ∘ . Neglect the weight of the rope and pulley. Determine the magnitude of the normal force acting on block A, NA If both blocks are released from rest, determine the velocity of block B when it has moved through a distance of s = 2.00 m. If both blocks are released from rest, determine how far block A has moved up the incline when the velocity of block B is (vB)2 = 6.25 m/s.
A 2-ton trailer truck travels down a road with slope 0.2 with a speed of 20 kph. If the truck driver pressed the brakes hard and in that exact time a wind blew with a force of 500 Newtons against the truck, determine how far the tires skid on the road if the coefficient of kinetic friction between the wheels and the road is 0.6.
To apply Newton’s second law and the theorem of conservation of energy to solve kinetic problems. A bungee jumper wants to jump off the edge of a bridge that spans a river below. The jumper has a mass m, and the surface of the bridge is a height h above the water. The bungee cord, which has lengthL when unstretched, will first straighten and then stretch as the jumper falls.Assume the following: The bungee cord behaves as an ideal spring once it begins to stretch and has spring constant k. The jumper does not actually jump but simply steps off the edge of the bridge and falls straight downward. The jumper's height is negligible compared to the length of the bungee cord. Thus, the jumper can be treated as a point particle. Use g for the magnitude of the acceleration due to gravity. How far below the bridge, d, will the jumper eventually be hanging, once the jumper stops oscillating and comes finally to rest? Assume that the jumper does not touch the water. Express your answer in…