A thin circular hoop is released from rest at the top of a plane inclined at 12.1 degrees above the horizontal. Assume perfect rolling takes place. How long does it take the hoop to roll 8.9 m down the plane surface? Express your answer in s, to at least one digit after the decimal point.

Q: .Find the sum of the following vectors using the analytical method and polygon method A. 100 N, 30…

A: Draw a vector diagram.

Q: 7. Find the vertical and horizontal components of the following vectors:

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Q: Which of the vectors is the result of P+ Q?

A: Required : Direction of the resultant vector.

Q: 8. Consider a projectile motion in two dimensions. Let the muzzle velocity of the projectile be v₁ =…

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Q: 23. An airplane travels due south at an airspeed of 800 km/h. It encounters a wind blowing at 85…

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Q: Two vectors are added, with lengths of five meters and three meters respectively; I don't know the…

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Q: Find the vector sum of the following vectors using Analytical method and  polygon method. 1. 100 N,…

A: 1.  Draw the vector. Vector sum Analytically: S=1002+302+2×100×30×cos45°=15142.64=123.05 Polygon…

Q: Which combination of the vectors shown has the largest magnitude? В. В+А-С D. В- A-C A. Ã + B +C С.…

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Q: Given this diagram of vectors, ¿which vector represents A + B ? A E a. A b. B c. C d. D e. E B← D

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Q: B. Find the components of the following vectors. 1. 2. 3. C-18 m A-15 m B-20 m 30 124

A: Introduction: Here, the horizontal components of the vector along the horizontal axis lie along the…

Q: R = 2î + 3ĵ – 6k, R2 = 2î – mỹ – 8k and R3 = nî + 4.5) – 9k - Explain why R1 & R2 are not parallel…

A: Here we have a very simple question. All we need to know is some definition of parallel vectors and…

Q: h the circuit illustrated in the accompanying diagram. The battery voltage is 97.5 V, and the…

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Q: v (m/s) 4 s (m) 2

A: Relation between velocity (v) and distance (s) from the graph can be express as -  v4+s2=1 Solving…

Q: Determine the (f_y) of Hypotenuse aright triangle when (F=100 lb, X=3, Y=4) .A 79lb .B 80lb .C 80 .D…

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Q: d L L/2 L

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Q: Express the force as a Cartesian vector. F=650N X 45° 60⁰ For item 3

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Q: A vector has a magnitude 10 and makes an angle of 120° to the +x axis, what's its x component? OA. 5…

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Q: 600 N 400 N Problem 02. irec Determine the magnitude of F1 and its direction 0 so that the resultant…

A: Based on the given forces applied on the weight on balancing horizontal components as the resultant…

Q: Six vectors are shown below. ン Select all vectors which have the same magnitude.

A: The quantities which has both magnitude and direction are called vectors. A vector has a head and a…

Q: Select the statements that describe a vector. Check all that apply. Vectors have a size only. O…

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Q: Propagate to find the percent error in a + b. a = 8.3 ± 1.2 b = 11.7 t 1.6 %3D Enter a number such…

A: Solution: Here we are given that   a = 8.3±1.2  andb = 11.7 ± 1.6 now here let the relation be : x +…

Q: The magnitude of the resultant of the vectors shown in figure is 5 N 7N

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Q: 10. A mountain climber encounters a crevasse in an ice field. The opposite side of the crevasse is…

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Q: A road makes an angle of 4.8° with the horizontal. How far must          an automobile go up the…

A: Angle making with horizontal is 4.8 degrees.

Q: Suppose that A = 2i + j. B=i- 4j + k, and = j+k. What is the magnitude of the vector

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Q: Which of the vectors is the result of P- Ó? 11 A. B. В. С. D. O D O B

A: Option D

Q: 5 ft A baseball pitching machine "throws" baseballs with a horizontal velocity vo. If you want the…

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Q: 3A B equals

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Q: This time, V=59.9 V; R1 = 134 Ohms; R2 = 153 Ohms; R3 = 130 Ohms; R4 = 186 Ohms; R5 = 121 Uhms, and…

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Q: A go go cart runs off the edge of a ledge as shown in the figure below. What must be its min speed…

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Q: 9. What is the x-component vector of the vector shown in Figure 2? a. 12.0i m b. -12.01 m c. 10.4i m…

A: Given Magnitude of vector is |v|= 12.0 m The x component of vector is   vx=vcos30o     =(12.0…

Q: ) Define the det product ICl=C_ two vecters à and B, which ane glven as AAx T+ A+ AzE and B Bx+ By…

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Q: What part of VECTOR ADDITION is the most difficult for you to do?

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Q: Two displacement vectors have magnitudes of 5.0 m and 7.0 m, respectively. If these two vectors are…

A: Given data:  Two displacement vectors The magnitude of the displacement vectors d1 = 5.0 m and d2 =…

Q: the vector some of 80 N in the -x direction and 30 N at an angle of 53 with the +x axis is   ......…

A: Given: The first force vector is -80 N. The second force vector is 30 N. The angle between the…

Q: (b) A block weighing 20 kg rest on a rough surface with the coefficient of kinetic friction, p=0.3.…

A: Given that :Block weight (mass) Coefficient of friction Force  Initial position  (the block is…

Q: Determine F1 and the angle of Theta. If the magnitude of the resultant force acting on the eyebolt…

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Q: Three force vectors are added together.  One has a magnitude of 9 N, the second one a magnitude of…

A: Given: Magnitude of first force vector = 9 N Magnitude of second force vector = 18 N Magnitude of…

Q: Given the vectors Ā = (2î – i) N and B = (3î + j)m- Then, 3A B equals

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Q: Give a real world example of the following. A. Something that can be modeled as a vector. B.…

A: A vector is a quantity that has magnitude as well as direction.A) A real-world example of a vector…

Q: A vector of magnitude 6 and another one of magnitude 12 are added. A possible result is a magnitude…

A: Given that Magnitude of first Vector A = 6 Magnitude of second vector B = 12 Assume that the angle…

Angular speed, acceleration and displacement

Angular acceleration is defined as the rate of change in angular velocity with respect to time. It has both magnitude and direction. So, it is a vector quantity.

Angular Position

Before diving into angular position, one should understand the basics of position and its importance along with usage in day-to-day life. When one talks of position, it’s always relative with respect to some other object. For example, position of earth with respect to sun, position of school with respect to house, etc. Angular position is the rotational analogue of linear position.