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A hollow rod has frictionless inner walls. Inside the rod are two small spheres that are kept on either side of the centre of rod. The rod is rotated about its central axis which is perpendicular to the plane of rotation. If the rod had been rotated by an impulsive torque which gave it an instantaneous angular velocity of 5rad/s, what will be the angular velocity after some finite but long time ‘t’? Assume no external forces act on rod after the impulse. Also state what will happen to the spheres in the centre of the rod. The rod has a mass =2kg & length =10cm. The two spheres have a mass =1kg each.
A tailor had a number of shirt pieces to cut from some large pieces of fabric. He cut each large piece into 10 smaller pieces. He cut at the rate of 45 cuts per minute . How many large pieces would be cut in 24 minutes?
A tailor had a number of shirt pieces to cut from large piece pieces of fabric. He cut each large piece into 10 smaller pieces. He cut at the rate of 45 cuts per minute. How many large pieces would be cut in 24 minutes?
Given a rod of length n and the selling prices of all pieces smaller than equal to n, find the most beneficial way of cutting the rod into smaller pieces. This problem is called the rod cutting problem. Which of these methods can be used to solve the rod cutting problem?
A rope 2-.6 meters long cut is into two pieces .If the length of one piece of rope is 2.8 meters shorter than the length of the other , what is the length , in meters, of the longer piece of rope?
A long stick of certain length is cut into several equal pieces. When the stick is cut into an equal piece of 24 cm each or 15 cm each or 27 each, then every time a piece of the stick of 3 cm length remains left. This stick can be cut into ‘x’ equal pieces of 33 cm length, then what is the least value of ‘x’?
A tailor had to cut a certain number of shirts from rolls of full-length fabrics. He cut each roll into 11 pieces of equal length. He cut the rolls of fabrics at a rate of 50 pieces per minute. How many rolls of fabric would he be able to cut in 25 minutes?
Define Rn to be the maximum amount earned by cutting a rod of length n meters into one or more pieces of integer length and selling them. For i > 0, let p[i] denotes the selling price of a rod whose length is i meters. Consider the array of prices: p[1] = 1, p[2] = 5, p[3] = 8, p[4] = 9, p[5] = 10, p[6] = 17, p[7] = 18 Which of the following statements is/are correct about R7?
In a race of 1000 meters, A can beat B by 100 meters, in a race of 800 meters, B can beat C by 100 meters. By how many meters will A beat C in a race of 600 meters?
A wire would enclose an area of 1936 m2, if it is bent into a square. The wire is cut into two pieces. The longer piece is thrice as long as the shorter piece. The long and the short pieces are bent into a square and a circle, respectively. Which of the following choices is closest to the sum of the areas enclosed by the two pieces in square meters?