
Problem 5 A 20-N weight is held by two strings, as show. What are both tensions...
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...
Two tensions are applied from opposite sides of a pulley as T1 = 20 N and T2=35 N. Pulley is a solid disc of radius 0.5 m and with mass m=4kg. Calculate moment of inertia of the pulley. Calculate its angular acceleration.
A picture P of weight W = 60.0 N is hung by two strings as
shown. The magnitude of the tension force of each string T is 70.0
N. The angle θ is:
” ” 人。 P
Consider the 634 N weight held by two cables shown below. The left -hand cable had Tension T2 and makes an angle of 45 degree with the ceiling. The right-hand cable had tension T1 and makes an angle of 39 degree with the ceiling. a) What is the tension in the cable labeled T1 slanted at au angle of 39 degree ? Answer in units of N. a) What is the tension in the cable labeled T2 slanted at an...
A uniform plank of mass 30kg and length 20m is supported by two
ropes T1 and T2 attached as shown on the diagram. Two masses 20kg
and 25kg are suspended are shown to keep the plank in equilibrium.
Find the tension T1 and T2 due to the two ropes.
I'm having trouble with this question. Would love to see the
actual work, so I can understand the concept.
4. A uniform plank of mass 30 kg and length 20 m,...
PLEASE SOLVE USING MATLAB
As shown, two weights are in state of static equilibrium, hanging from three strings of known lengths. Write 6 equations and solve them in MATLAB to determine the angles (0,, θ2,93) and tensions (T. T2, T3) of the strings. Hint: We can write 4 equations of equilibrium based on F 0and Fy- 0 for each mass. Two more equations are obtained by writing the displacement compatibility relations L1 cos(01)+L2cos(02) +Lacos(03) 8 L1 sin(θ 1 ) 0...
What is the order of the following growth function? t(n)= 5 nlog n + 20n +20 O(log n) Oin log n) o O(n2) 0(1)
Suppose that we have two algorithms A1 and A2 for solving the same problem. Let T1(n) be the worst-case time complexity of A1 and T2(n) be the worst-case time complexity of A2. We know that: T(1)=1 T1(n)=15*T1(n/2)+n^2, n>1 T2(1)=1 T2(n)=80*T2(n/3)+20n^3,n>1 a. Use the master method to decide T1(n) b. Use the master method to decide T2(n) c. Which algorithms is more efficient? Why?
5. Consider a weight hanging from two wires as in the picture below. a) If 7 and : are the tensions of the wires as shown and w =100 N , represent the T, T, and weight W as vectors in terms of i and j. W 100 N and 173. b) Use the fact that the system is in a state of static equilibrium to find 7
Q9 (Approximation of π) (a)
Show that 1/1 + t2 = 1 − t2 + t4 −
... + (−1)n−1 t 2n−2 + (−1)n
t2n /1 + t2 for all t ∈ R and n ∈ N.
(b) Integrate both side in (a), show that tan−1 (x) =
x − x3/3 +
x5 /5 − ... + (−1)n−1x 2n−1/ 2n −
1 + Z x 0 (−1)n t2n /1 +
t2 dt.
(c) Show that tan−1 (x) − ( x...