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Engineering

Mechanical Engineering

1.2 m 60% wwww 1 WWW.

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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Learning Goal: In 1687, Isaac Newton presented three basic laws that describe the motion of a particle: • First law: A particle originally at rest, or moving in a straight line with a constant velocity, will remain in this state provided that the particle is not subjected to an unbalanced force. Second law: A particle acted upon by an unbalanced force, F experiences an acceleration, a, that has the same direction as the force and a magnitude that is directly proportional to the force. Figure 1 1 1 V 1 of 2
A block with a mass of 2.0kg is on a horizontal surface of negligible friction. The block is attached to one end of an ideal spring. The other end of the spring is attached to a vertical wall as shown. The block is pulled back and released from rest. The graph shows the horizontal position x of the block as a function of time t as the block oscillates on the surface. The block is moving to the right when it breaks away from the spring moving with its maximum linear speed. The block reaches an area with a rough surface that has a coefficient of kinetic friction of 0.200. Calculate the distance the block moves on the rough surface as it comes to rest. If he block is then replaced with a cylinder of radius 0.25 m and mass 2.0 kg, which is attached to the spring along an axis through its center. The cylinder is placed on a new surface, which allows it to roll while in oscillation. The cylinder is pulled back until the spring is stretched the same distance as in the previous experiment,…
A spherical bowling ball with mass m = 4.6 kg and radius R = 0.105 m is thrown down the lane with an initial speed of v = 9.5 m/s. The coefficient of static friction between the ball and the ground is 0.35 and the coefficient for kinetic friction is μ = 0.3. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down the lane? 2) What is magnitude of the linear acceleration of the bowling ball as it slides down the lane? 3) How long does it take the bowling ball to begin rolling without slipping? 4) Once it begins to roll without slipping, what is the force of friction on the ball?
n engineer is designing a spring to be placed at the bottom of an elevator shaft. If the elevator cable breaks when the elevator is at a height H above the top of the spring, calculate the value that the spring constant k should have so that passengers undergo an acceleration of no more than 9.0g when brought to rest. Let N be the total mass of the elevator and passengers. Spring constant k that the spring should have so that passengers undergo an acceleration of no more that 9.0g
1. Two blocks are connected by a pulley system shown in the figure below. Neglect friction between the block on the left and the ramp sloped at angle 0. Suppose that the block on the left has mass m, and that the block on the right is moving downward at a constant speed v. m Given m, 0, and v, answer the questions below. (a) Find the mass of the block on the right? (b) Find the velocity of the block on the left. (c) If the block on the right was moving at a constant speed v upward, instead of downward, how would your answer to Question la change?
Two blocks connected by a string are pulled across a horizontal surface by a force applied to one of the blocks, as shown below. The coefficient of kinetic friction between the blocks and the surface is 0.25. If each block has an acceleration of 2.0 m/s2 to the right, what is the magnitude F of the applied force?
A vertical spring with a mass attached at its end stretches by an amount 20 cm before coming to rest. The same spring and mass is now placed on a smooth inclined plane with one end fixed to the top of the plane. The plane makes an angle of 30° with the horizontal. By how much will the spring stretch before coming to rest? |The spring on the inclined plane is stretched further by 15 cm and released from rest. What is its speed when it passes through the new equilibrium position?
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Figure 2 В A Block A is hanging from a massless string which runs over a massless and frictionless pulley and connects to Block B. Block B slides over an inclined plane with ordinary kinetic friction. The plane under block B is inclined at an angle theta = 0 away from vertical. The other side of Block B is connected to another massless string which runs over another massless and frictionless pulley to connect to Cart C. Cart C rolls without friction over a plane which is inclined at an angle of phi = y away from vertical. C
Show complete solutions. Please draw the figure or the illustrations. Problem:Two horses are pulling a barge with mass 2000 kg along a canal, as shown in the Figure. The cable connected to the first horse makes an angle of 30o with respect to the direction of the canal, while the cable connected to the second horse makes an angle of 45.0o. Find the initial acceleration of the barge, starting at rest, if each horse exerts a force of magnitude 600 N on the barge. Ignore forces of resistance on the barge.
A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in the graph at right. What are the object’s speed and direction after the force ends? Paste the completed Bar Chart below. 1. identify the system 2. draw a quick sketch of the initial state of the object(s) 3. do a momentum bar chart
I need a clear answer by hand, not by keyboard and fast answer within 20 minutes. Thank you | dybala The system is initially at rest with no slack in the cable, and the mass and friction of the pulleys are negligible. Determine the following: 1- The acceleration of the block if (a) T = 20 N and (b) T= = 30 N. 2- The velocity of the block in 4 seconds if T = 30 N. Hs=0.50 H=0.40) 15 kg 30° T