Mathematics Homework Solutions

Two problems on dynamics.

Two problems on dynamics.

A set of four problems on dynamics

For detailed description with figs. please refer the attachment. Prob. 1 : A box slides down a ramp with two straight segments and on leaving the ramp it slides on a rough horizontal surface and then impacting a spring. To determine kinetic energy, velocity at different points and the compression of the spring. Prob. 2 : A ...continues

Two problems on collision of discs and system of pulleys.

Two problems on collision of discs and system of pulleys.

Dynamics : Grinding Wheel

Please see the attached file for the fully formatted problems. 1. AN ELECTRIC MOTOR ACCELERATES THE 6-in DIAMETER GRINDING WHEEL AT A RATE 0F 150 rad/s2 FROM REST UNTIL IT REACHES ITS OPERATING SPEED OF 3600 rpm. DETERMINE: a) The time in seconds required for the wheel to reach 3600rpm b) The number of revolutions of the wh ...continues

Rod BC is pinned to the 10lb sliding block

Please help with this problem. I am having a lot of trouble with it. Thanks.

Two problems on rigid body dynamics

Problem 1 : To determine moment of inertia about different axes of rotation of a circular disc of given radius of gyration. Problem 2 : A two pulley system. To determine acceleration, tension in the cable etc.

Rotational Dynamics: Two problems with rod and pulley.

Please help with these two problems. I am having a hard time with them. Thanks.

Two problems on rigid body dynamics

(Please refer attachment for detailed problem description) Problem 1 : The 40 kg disc is released from rest with the spring compressed. At the instant shown (see attachment) it has a speed of 4 m/s and the spring is unstretched. From this poinr determine the distance d that the disc moves down the 30 degree ramp before moment ...continues

Rigid body dynamics: Pulley and blocks, Angular acceleration of a plate.

I need a lot of help with these problems. Thanks

Discuss the Problem-Solving Process outlined. Which step is the most important? Could students solve problems without one of these steps? Give an example of a problem and demonstrate its solution through the four steps. Four-Step Problem-Solving Process 1. Understanding the problem a. Can you state the problem in your own words? b. What are you trying to find or do? c. What are the unknowns? d. What information do you obtain from the problem? e. What information, if any, is missing or not needed? 2. Devising a plan The following list of strategies, although not exhaustive, is very useful: a. Look for a pattern. b. Examine related problems and determine if the same technique applied to them can be applied to the current problem. c. Examine a simpler or special case of the problem to gain insight into the solution of the original problem. d. Make a table or list. e. Make a diagram. f. Write an equation. g. Use guess and check. h. Work backward. i. Identify a subgoal. j. Use indirect reasoning. k. Use direct reasoning. 3. Carrying out the plan a. Implement the strategy or strategies in step 2 and perform any necessary actions or computations. b. Check each step of the plan as you proceed.This may be intuitive checking or a formal proof of each step. c. Keep an accurate record of your work. 4. Looking back a. Check the results in the original problem. (In some cases, this will require a proof.) b. Interpret the solution in terms of the original problem. Does your answer make sense? Is it reasonable? Does it answer the question that was asked? c. Determine whether there is another method of finding the solution. d. If possible, determine other related or more general problems for which the techniques will work.

Discuss the Problem-Solving Process outlined. Which step is the most important? Could students solve problems without one of these steps? Give an example of a problem and demonstrate its solution through the four steps. Four-Step Problem-Solving Process 1. Understanding the problem a. Can you state the problem in your ow ...continues

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