3. Consider the dipole shown in the notes (see page 6 in Lecture 7). Suppose that...
Consider the circuit for BCD ripple counter as shown in Lecture Notes. Consider the following modifications of this circuit: (a) Suppose the circuit uses Logic-0 (instead of Logic-1 input). What will be the function (~counting sequence) for this circuit? (b) Suppose the original circuit (shown in lecture notes) uses positive edge-triggered flip- flops (instead of negative edge-triggered). What will be the function (~counting sequence) for this circuit? Include the unused stated (if any) in your analysis.
In class we found the change of total kinetic energy (lecture notes 10/21, page 6) Ть ΣΙ Fext AT =-AU + dt (1) dt where U is the total potential energy associated with internal interaction forces and F is an external force acting on m,. Suppose that the masses m, are moving in a uniform gravitational field so that Fe -m,gy. Here, g is the acceleration of gravity and y is pointing vertically up (so that Fe is pointing vertically...
Differential Equations for Engineers II Page 2 of 6 2. Consider the nonhomogeneous ordinary differential equation XY" + 2(x – B)y' + (x – 2B)y = e-1, x > 0, (2) 5 marks where ß > 0 is a given constant. (a) A solution of the associated homogeneous equation is yı = e-*. Use the formula for the method of reduction of order, as described in the lecture notes / record- ings, to find a second solution, y2, of the...
4. Applying the Matrix Cookbook (See Lecture 3 Slide 16) Consider a movie rating data from Netflix (480,000 users × 17,700 movies). Ifa user ui rates a movie mu as 4 stars, then we consider a user-movie matrix A with cell Ax has value 4. To capture the whole matrix, there are 480,000 × 17,700 matrix cells to store, which is too big. We attempt to decompose the matrix A WH, where W is 480,000 × r and H is...
Figure 6 solution see book, solved problem 12.3, also HW problem, also solved during lecture and recitation, also see attachement 14. A thin hollow spherical shell of mass M, and radius R , rolls down without slipping (condition for rolling without slipping :v, = WR) from the top of the incline of length L The incline makes an angle with horizontal ground. What will be the velocity of the centre of mass (C.M) of the sphere when it reaches at...
1. Consider the pendulum model that we discussed in class. It's also on page 71 of the lecture notes 4. Again, for simplicity, we assume m-1-1-1 Suppose in addition we consider a damping force of this model as follows. The magnitude of the damping force is proptional to angular velocity while its direction is opposite to the one of the angular velocity. For simplicity, we may assume the damping force to be -' Then the net external torque become τ...
Assume demand paging with three frames. Consider the following page reference string: 7, 2, 3, 1, 2, 5, 3, 4, 6, 7, 7, 1 If OPT replacement is used, the number of page faults will be a. 8 b. 9 c. 10 d. 7 e.None of the above If LRU replacement is used, the number of page fault will be a. 8 b. 9 c. 10 d. 11 e. None of the above
Consider the page table shown below for a system with 16-bit virtual and physical addresses and with 4096-byte pages. All numbers below are given in hexadecimal. (A dash for a page frame indicates that the page is not in memory.) Page Number Physical Frame Number 0 - 1 2 2 C 3 A 4 - 5 4 6 3 7 - 8 B 9 0 How many bits are in the offset part of the address? How many hex digits...
Consider the page table shown below for a system with 16-bit virtual and physical addresses and with 4096-byte pages. All numbers below are given in hexadecimal. (A dash for a page frame indicates that the page is not in memory.) Page Number Physical Frame Number 0 - 1 2 2 C 3 A 4 - 5 4 6 3 7 - 8 B 9 0 Convert the following virtual addresses to their equivalent physical addresses in hexadecimal. a) 9EF5 b)...
A simply supported beam AB is subjected to a triangle loading (see figure). The moment curvature equation is shown (from the left). The (El-constant) 1. Determine the deflection at middle beam. 2. Determine the rotation at middle beam. 2 kN/m B 4 m 8 EI 12 MacBook Air DOO 008 A tA % A - 5 & 7 6 I 0 * 8 9 R T