Question 2 Notation: 1, ], and k are unit vectors in the x-, y, and z-directions, respectively. The zero vector is 0; and the scalar zero is 0. What is the result of kk? Selected Answer: Answers: None of the other answers Ofi.e., zero scalar) O fi.e., zero vector) Question 5 O out of 1 points Calculate the vertical reaction force at point C. Report answer to 3 significant digits in N, and assume Cy is positive in the vertically...
QUESTION 2 Two ropes, with tensions T1- 5 N and T2 - 2.5 N, pull on a pulley as shown in the figure T1 T. 2 The pulley is a uniformly dense cylinder with a radius of 5 cm and a mass of 2 kg. The pulley rotates around a frictionless axle that passes through its center. The pulley is initially at rest, but after the tensions are applied begins to rotate. What is the net work (in J) done...
Fixed Ideal Pulley K M B Problem-3: For the system shown, the ideal lever of length L is horizontal and released from rest when the spring forces are zero. If 0 is the angular displacement of the lever, a) find the equation(s) of motion; b) if, m = L = M= K = 1, B = 3 and b = 9/4 in consistent unit, find “k” for which the system response is critically damped. Assume small 0. Ideal Lever Point...
13 In this question, i and j are horizontal unit vectors in the East and North directions respectively. Ice hockey is played with a rubber disc called a puck. At the start of one ice hockey match, Marta hits the puck from the point with position vector (30i +13j) m. The puck is modelled as a particle which slides horizontally on a level surface at a constant velocity of (-4i+ 6j) ms For the puck to have a constant velocity,...
12. Let (o) and (1) represent the unit vectors along the x and y directions, respectively. The effects a rotation in the x-y plane. Show that the length of an operator(cosθ -sinθ) sin θ cos θ arbitrary vector (b) - a)+ b(), which is defined as Va2 + b", is unchanged by this rotation.
, A is a linear transformation that maps vectors x in 975 into vectors Let A= 0 -2 1 b in R2 Consider the set of all possible vectors b-Ax, where x is of unit length. What is the longest vector b in this set, and what unit length vector x is used to obtain it? You can use Matlab to save time with the computations, but please justify your answer. , A is a linear transformation that maps vectors...
Express Fas a vector in terms of the unit vectors i, j and k (present your answer with 3 significant figures). Please enter your answers in the form of Ai +Bj +Ck. z - F = 60 N 1101 40 50 Dimensions in millimeters Determine the angle in degrees between F and the y- axis. z - F = 60 N 1101 40 50 Dimensions in millimeters 300 mm 150 mm 200 mm Use the vector product treatment to express...
4./10 points SerPSE10 3.4.0P012 MI Consider the two vectors A-5 i-j and B-i-2 j. (a) Calculate A +B (b) Calculate A B (c) Calculate A-B 1 (d) Calculate A B (e) Calculate the directions of A+ B and A -B. o (counterclockwise from the +x axis) o(counterclockwise from the +x axis) A + B A -B
The assembly shown in the figure below consists of a thin rod of length l = 23.9 cm and mass m = 1.20 kg with a solid ball of diameter d = 10.0 cm and mass M = 2.00 kg attached to its top. The assembly is free to pivot about a frictionless axle through the bottom of the rod. The assembly is initially vertical and at rest when it starts to rotate clockwise. (a) After the combination rotates through 90...
NA 6.022 x 103 molecules/mole k 1.381 x 1023 J/K c 2.997 x 108 m/s 1 cal 4.186 J mp 1.673 x 1027 kg 1 atm 1.013 bar h 6.626 x 10-34 Js R 8.315 J/(mol K) 1 bar 10% Pa 1. (15 points) 2.0 moles of a monatomic ideal gas undergo a 3 step cyclic process. The process begins in state A at 1.00 atm, 297 K. The gas is heated slowly at constant pressure until it reaches state...