Problem 2: The uniform rod of length, L, and mass, m, shown below, is released from rest and from an angle of 8- O (radians]. The rod then begins to rotate clockwise due to the force of gravity mE 12 Note that the moment of inertia of a rod about its center is when the A) Show that the magnitude of the angular velocity of the rod is löll- rod has rotate...
It’s review question, I need this as soon as possible. Thank you 3) For thè diferential equation: (a) The point zo =-1 is an ordinary point. Compute the recursion formula for the coefficients of the power series solution centered at zo- -1 and use it to compute the first three nonzero terms of the power series when -1)-s and v(-1)-0. (25 points) (b) Th...
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A slender 9 lb rod can rotate in a vertical plane about a pivot at B. A spring of constant k-30 lb/ft and of unstretched length 6 in. is attached to the rod as shown. The rod is released from rest in the position shown. 1) Determine its angular velocity after the rod has rotated through 45.(1 point) 2) Determine the reaction force at pivot point B after the...
The uniform bar shown in the diagram has a length of 0.80 m. The bar begins to rotate from rest in the horizontal plane about the axis passing through its left end. What will be the magnitude of the angular momentum L of the bar 6.0 s after the motion has begun? The forces acting on the bar are shown. Express your answer in kg*m2/s
Figure 3 Uniform disk Uniform rod 3) Figure 3 illustrates a physical pendulum comprising a uniform disk having mass M and radius R and a rod having the length R and mass M. The disk is pivotally mounted with a friction-less horizontal axis of rotation that extends through the center of mass of the disk. The rod is fixedly attached to the edge of the disk...
Sample Problem 6. The 30 kg slender rod is released from rest when θ-00 (when rod OA is in the horizontal position). The spring is unstretched at θ-00. A constant clockwise moment of 10 N-m is applied to the rod. A force, P, of 20 N is applied and is always perpendicular to the rod. Determine the angular velocity of the rod when θ- 750. (Use the work-energy...
Problem3 A uniform slender rod of length L- 2 m and mass 3 ke rotates freely nodty soUARED S hinge at A. At t-0, the initial angle is θ-30 and the in rads/s in the counter-clockwise direction. (no friction) about itial angular velocity SQUARED is 5 What is the angular velocity (squared)d02 and angular acceleration α as functions of 0? a) b) What are t...
All of t rod of mass B. 2a _x10 kg and length C. 5meters, with two identical uniform hollow spheres, each of mass D. 232x 10 kg a E_ meters, attached at the ends of the rod, as shown below. Note that none of the diagrams shown is drawn to scale! he questions on this exam concern a space station, consisting of a long thin uniform nd radius axis axis (e...
A 12 kg slender rod is placed against the wall at an angle of 45 degrees as shown. If it is released from rest, determine the angular velocity of the rod at the instant just before it hits the ground (angle 0 degrees). Neglect friction. Moment of Inertia lg of rod-2 12 8 Bar AB is l0 k Spring unstrctched Starth from rest Hint: Tou k" A 12 kg sl...
(b) Find the sircular convolution on xi(n) and x2(n). Show the steps. xi(n)- 4 9 16 x2(n)- (12 -6 4 -3) (n-0, 1,2,3) xiun) x2(-n reverse/rotate clockwise 14 916 9 16 14916 (reverse order) rotate right) 14916___ 14 916 4916 (b) Find the sircular convolution on xi(n) and x2(n). Show the steps. xi(n)- 4 9 16 x2(n)- (12 -6 4 -3) (n-0, 1,2,3) xiun) x2(-...
Given: angle 3 is complementary to angle 1 angle 2 is complementary to angle 1 angle 4 is congruent to angle 5 Prove: angle COM is congruent to angle PMO
What single rotation is equivalent to Rotate 40 degrees circle, Rotate 60 degrees circle, rotate -10 degrees
M,R a = 0 14. A body consisted of an uniform rod of mass m and length L, and a disk of mass M and radius R can rotate about the axis z. At the beginning the body is in the horizontal position and rests. On the body acts only the gravity force. Determine the linear momentum P, and the angular momentum K relatively to point O when the body is in the vertical...
question #1 In the engine mechanism shown in the following figure, the crank AB has a constant clockwise angular velocity of 2000 rpm. And the connecting rod is a uniform, slender rod whose center of mass is in its geometric center G. For the position, check all that apply SP Fig. 16.13 に8 in. 40° 240 sin 40 -12n cos 40j 12 OBD 62 radils (c. c. w)....
I asked about radians yesterday,you told me that a circle has 360 degrees or 2 pi radians, so: radians = 2.7*pi/180 Would the answer be 0.047
The same as the previous question. The crank AB has a constant clockwise angular velocity of 2000 rpm. The connecting rod is a uniform slender rod whose center of mass is in its geometric center G SP Fig. 16.13 に8 in. 40° Check All That Apply ав [-10966, 227 cos 40 -10966.227 sin 40j - 0- -10966. 227 sin 40 + a)BD T, sinß + αΒί cosp -10966. 227 cos 4...
44. The system shown in Fig. P7 consists of a slider block of mass m2 and a uniform slender rod of mass m3, length 13, and mass moment of inertia about its center of mass J The slider block is connected to the ground by a spring that has a stiffness coefficient k. The slider block is subjected to the force F(t), while the rod is subjected to the moment M. O...
A discus thrower (with arm length of 1.2 m) starts from rest and begins to rotate counterclockwise with an angular acceleration of 2.1 rad/s2.(a) How long does it take the discus thrower's speed to get to 3.6 rad/s?(b) How many revolutions does the thrower make to reach the speed of 3.6 rad/s?revolutions(c) What is the linear speed of the discus at 3.6 rad/s...
A discus thrower (arm length 1.2 m) starts from rest and begins to rotate counterclockwise with a constant angular acceleration of +3.0 rad/s2.(a) How many radians of angle does it take for the discus thrower's angular velocity to reach +6.0 rad/s??rads(b) How long does this take?? secondsAt this time (from part b), please find the following quantities:(c) t...