## Branch

• 1.

### Statement for linked Answer Questions ::The subset –sum problem is defined as follows. Given a set of n positive integers, S = {a1, a2, a3, ......, an} and a positive integer W, is there a subset of S whose elements sum of W? A dynamic program for solving this problem uses a 2-dimensional Boolean array, X, with W+1 rows and n columns X[i, j], 1 ≤ i ≤ n, 0 ≤ j ≤ W, is TRUE if and only if there is a subset of {a1, a2, …., ai} whose elements sums to j.

  Which of the following is valid for 2 ≤ i ≤ n and ai ≤ j ≤ W? [2 marks](A) X[i, j] = X[i – 1, j] ∨ X[i, j – a1](B) X[i, j] = X[i – 1, j] ∨ X[i – 1, j – a1](C) X[i, j] = X[i – 1, j] Λ X[i, j – a1](D) X[i, j] = X[i – 1, j] Λ X[i – 1, j – a1]
  Which entry of the array X, if TRUE, implies that there is a subset whose elements sum to W? [2 marks](A) X[ 1, W](B) X[ n, 0](C) X[ n, W](D) X[n – 1, n]

asked in Mechanical Engineering, 2008

• 2.

### The shaft shown is supported on bearings at A and B. This shaft carries three eccentric masses (each of mass m) in planes parallel to x-y plane at C, D and E. the eccentricity of mass at C is e and eccentricity of masses at D and E is e/√2 . The shaft rotates at speed ω. In the figure, θD and θE indicate the angular positions of masses at D and E in x-y plane with respect to that of mass at C.Neglecting gravity effect, determine θD and θE to provide static balance. Also determine the ratio of magnitudes of dynamic bearing reactions at A and B for the obtained values of θD and θE. [5 marks] asked in Mechanical Engineering, 2001

• 3.

### A company is offered the following price breaks for order quantity Order quantity Price (Rs.)  0-100  150 101 and above  100 Order cost is Rs.60 per order while the holding cost is 10% of the purchase price. Determine the economic order quantity (EOQ) if the annual requirement is 1000 units.[5 marks]

asked in Mechanical Engineering, 2001

• 4.

### A mechanic has an engine from a 1970 model car which works on the basis of Otto cycle. The engine displaces 1.8 liters, has a compression ratio of 10.2:1 and has six cylinders. The pistons in the original engine are 120 mm in diameter. The mechanic bores the cylinder and replaces the piston with new pistons that are 2 mm larger in diameter than the originals. (a) Keeping all other factors same, what will be the percentage change in power output? (b) By what percentage will the engine efficiency change?[5 marks]

asked in Mechanical Engineering, 2001

• 5.

### The 2 kg mass C moving horizontally to the right, with a velocity of 5 m/s, strikes the 8 kg mass B at the lower end of the rigid massless rod AB. The rod is suspended from a frictionless hinge at A and is initially at rest. If the coefficient of restitution between mass C and mass B is one, determine the angular velocity of the rod AB immediately after impact. [5 marks] asked in Mechanical Engineering, 2001