Q1. On the outside rim of a circular disk the integers from 1 through 30 are painted in random order. Show that no matter what this order is, there must be three successive integers whose sum is at least 45.
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Q1. On the outside rim of a circular disk the integers from 1 through 30 are...
A horizontal platform in the shape of a circular disk rotates on a frictionless bearing about a vertical axle through the center of the disk. The platform has a radius of 3.40 m and a rotational inertia of 464 kg·m2 about the axis of rotation. A 68.9 kg student walks slowly from the rim of the platform toward the center. If the angular speed of the system is 1.48 rad/s when the student starts at the rim, what is the...
Two unsigned integers are added by a circuit that accepts J-bit operands. The carry out from the MSB is ignored; the J sum bits are examined. Consider the set of all pairs of operands (order does not matter because unsigned integer addition is commutative). There is a sum that can be produced by at least three distinct pairs of operands. Name such a sum and three operand pairs that have that sum.
how many integers from 0 through 999,999 contain the digit 4 exactly twice? how many integers from 1 through 1000000 contain the digits 6 at least once
1. A uniform disk with a 16 kg mass and a 20 cm radius rotates about a perpendicular axis through the center. Three forces act on it as shown. The 60 N and 50 N forces act at the rim with the 60 N tangent to it, and the 70 N acts at a distance of 10 cm from the axis as shown. (a) What is the net torque on the disk? (b) What is the angular acceleration of the...
A disk 15 cm in diameter rotates counterclockwise in a horizontal plane, accelerating uniformaly from 33 rpm to 45 rpm in 1 min. A) What is the angular acceleration of the disk? B) What is the angular speed of the disk 30 sec after it starts to accelerate? C) What is the tangential speed of a point on the edge of the disk 30 sec after it starts to accelerate? D) Through how many rotations does the disk turn while...
A. How many integers from 1 through 1,000 are multiples of 4 or multiples of 3? B. Suppose an integer from 1 through 1,000 is chosen at random. Use the result of part (a) to find the probability that the integer is a multiple of 4 or a multiple of 3. (Round to the nearest tenth of a percent.) C. How many integers from 1 through 1,000 are neither multiples of 4 nor multiples of 3?
Procedure 1. Measure the inside and outside radii of the ring, the radius of the disk, and the masses of the ring and the disk, and record these values in Table 5. Table 5 Item Value Ring, inside radius (R1) 2.7 cm Ring, outside radius (R2) 3.8 cm Mass of ring (MR) Mass of Disk (MD) Radius of Disk (R) 470 g 120 g 4.7 cm 2. Place the disk firmly on the rotating system. Give it a spin using...
Using JAVA, write an application that uses an Array of 30 Numbers (random integers from 1 - 100) and returns the maximum number, minimum number, average of all numbers, and prints a Bar Chart to show the number distribution (1-9, 10-19,20-29, …80-89, 90-100). Note; maximum number, minimum number, average number, and the Bar Chart must use implemented as separate methods in a separate class. Method call should pass an array as an argument. Methods should accept an array as an...
Written Question #1 A positive charge q1 experiences electric forces from two other positive charges, q2 and qs. All three have the same amount of charge (q3) The three figures below show q both q2 and q3. Add to each figure the location of q3 such that the net force has the direction given. For full points, you must have q3 at the correct distance from q1, show how you calculated that distance, and include an explanation of how you...
Problem 18.68 9 of 9 PartA The system consists of a 51-kg disk A, 22-kg slender rod BA, and a 5-kg smooth collar A The system is released from rest when θ 45°. (Figure 1) If the disk rolls without slipping, determine the speed of the collar at the instant 30° Express your answer to three significant figures and include the ap propriate units. Figure 1 of 1 A 405 Submit Incorrect: Try Again; 4 attempts remaining B. 30 0.5...