A wheel has a radius of 2.30 m. How far (path length) does a point on the circumference travel if the wheel is rotated through the following angles, respectively? (a) 1.045 25.0° Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. m (b) 25.0 rad m (c) 25.0 rev m

Q: Qi of moving point The position vector RCt) = ti + [In cost)];" is given cas %3D (a) The speed unit…

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Q: Determine the magnitude and the coordinate direction angles of the resultant

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Q: Two points are given in polar coordinates by (r, 0) = (1.80 m, 50.0°) and (r, 0) = (3.00 m, -48.0°),…

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Q: After slapping the burglar in the Tondo, Rodrigo ran to a nearby hut which is s = (300+) meters from…

A: s = 1.25t-0.35 - 3t3cos(-5t)+0.25t4e0.5tDistance of hut = 300+274100

Q: Which are possible errors in Visual Python? Select one: O Syntax and Math (Logic) O Systematic and…

A: Possible types of error in visual python are syntax error, logical error and exceptions. Therefore,…

Q: Let's try! Using both parallelogram and polygon methods, find the resultant of the following…

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Q: The curve has an equation of y = √2x. What is the radius of gyration with respect to the y-axis?

A: Given that: y = √2x To determine the radius of gyration with respect to y axis.

Q: A particle is moving with the given data. Find the position of the particle. a(t) = 10 sin(t) + 9…

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Q: Find the angle between each of the following pairs of vectors (1) A = 3.00i + 5.00j (2) A = -4.00i +…

A: 1) A→ = 3i^ + 5j^B→ = 10i^ + 6j^

Q: Given the resultant R = -3i + 4j , what is the direction in terms of angle θ from the +x axis?

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Q: Consider the curve described by the parametric equations E = 2 cos t, y = 3 sin t For which value of…

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Q: Find the angle 79.2 degrees in radians.

A: Convert 360°=2π rad1°=2π rad360°So,79.2°=79.2°360°2π rad         =1.3823 rad

Q: Show that the linear combinations h1 = s + px + py + pz and h2 =s − px − py + pz are mutually…

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Q: Obtain expressions in component form for the position vectors having the following polar…

A: Given polar co-ordinates : a→r=12.0 m, θ=160°b→r=3.80 cm, θ=80°c→r=24.0 in, θ=202°

Q: A two-legged robot is programmed so that upon switching it on, it will do a repetitive pair of…

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Q: The vector product of vectors A and B has magnitude 12.0 m? and is in the +z-direction. Vector A has…

A: Given data: The vector product of two vectors is, A→×B→ = 12 m2z^ The vector A is, A→ = 4.0 m-x^…

Q: The vector product of vectors A and B is maximum, therefore * O O vectors A and B are parallel in…

A: Given: The two vectors are A and B. To find: The condtion for the maximum vector product.

Q: Find the cross product A x C for (a) A = 2.01 - 4.0j +k and C = 3.0i + 4.0j + 10.0k, (b) A = 3.01 =…

A: 1 )A→ = 2i^ - 4j^ + k^C→ = 3i^ + 4j^ + 10k^

Q: determine the resultant of the following 8.0 N at 40°, 9.0 N at 120°, and 12.0 N at 200° all angles…

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Q: x,t) = (0.350) sin((0.0500 z)x+ (300.0 x,t) and x are cm and t is in seconds.

A: first write the standard equation for a harmonic wave. then compare with the given equation to find…

Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Two points are given in polar coordinates by (rθ) = (2.00 m, 50.0°) and (r,θ) = (5.00 m, −50.0°),…

A: Given: (r, θ) = (2.00 m, 50.0°) and (r, θ) = (5.00 m, −50.0°)

Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Let S = (1m)i + (2m)j + (2m)k and T = (3m)i + (4m)k. The angle between these two vectors is given by

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Q: Two points in the Cartesian plane are A(2.00 m, −4.00 m) and B(−3.00 m, 3.00 m). Find the distance…

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Q: Let S =(−1m)i+(2m)j−(3m)k and T =(4m)i−(6m)k. The angle between these two vectors is given by

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Q: Two points in the xy plane have Cartesian coordinates (2.50, -6.00) m and (-4.50, 4.50) m. (a)…

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Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: A ball is released from rest at the top of an incline whose height 16.1 centimeters and base 116.6…

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Q: Find the cross product A x C for (a) A = 2.0i – 4.0j +k and C = 3.0i + 4.0j + 10.0k, (b) A = 3.0i =…

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Q: Find the angles that vectorD ⃗ = (2.0i ^ − 4.0j ^ +k ^ )m makes with the x-, y-, and z axes.

A: The angles vector D makes with axis x, y and z is given by the formula,

Q: Two points in the xy plane have Cartesian coordinates (5.50, -7.00) m and (-6.50, 6.50) m. (a)…

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Q: Propagate the error in the following expression: 250.0(±0.1)???? + 50.00(±0.05)??�

A: Given 250.0(±0.1)???? + 50.00(±0.05)?? we have to calculate, Propagate the error in the following…

Q: Obtain expressions in component form for the position vectors having the following polar…

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Q: Obtain expressions in component form for the position vectors having the following polar coordinates…

A: (a) 13 m at 140° The vector R is given by  R→ = 13cos 140° i^+ sin 140° j^R→ =- 9.96 i^ + 8.36 j^ m…

Q: It is known that the curve vector equation is R(t) = 4t i + 2(t2 – 1) j. Find the unit tangent…

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Q: Two points in the xy plane have Cartesian coordinates (3.50, -5.00) m and (-6.50, 6.50) m. (a)…

A: The transformation equation for cartesian to polar coordinates is : r=x2+y2andθ=tan-1yx

Q: Let z(t) = t - sin(t) and y(t) = 1- cos(t) All answers should be decimals rounded to 2 decimal…

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Q: In the example below, a lady pushes a lawn mower with a force, F , equal to 5.0N. Part A If O is 28°…

A: Given data: Force (F) = 5.0 N Angle (θ) = 28°, below the horizontal

Q: Two points in the xy plane have Cartesian coordinates (3.50, –5.00) m and (-6.50, 6.50) m. (a)…

A: Given: The coordinates of the points are 3.50, -5.00 and-6.50, 6.50

Q: Given the path, find a decomposition of the acceleration vector à(t) into tangential and normal…

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Q: Given the vectors A = (-2,2) in Cartesian, B = (4,30") in polar coordinates, and C = (-4,-9) in…

A: Given that:- Vector=(-2,2) Vector B=(4,30°) Vector C=(-4,-9)

Q: . Using the differential length dl, find the length of each of the following segments/curves: a) 2 <…

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Q: If vectors A = 4i + 3j + 2k and B = 2i + 3j + 2k, then the dot product A.B will be equal to... "

A: Solution as

Q: What is the  angle of the 10X force?

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Simple harmonic motion

Simple harmonic motion is a type of periodic motion in which an object undergoes oscillatory motion. The restoring force exerted by the object exhibiting SHM is proportional to the displacement from the equilibrium position. The force is directed towards the mean position. We see many examples of SHM around us, common ones are the motion of a pendulum, spring and vibration of strings in musical instruments, and so on.

Simple Pendulum

A simple pendulum comprises a heavy mass (called bob) attached to one end of the weightless and flexible string.

Oscillation

In Physics, oscillation means a repetitive motion that happens in a variation with respect to time. There is usually a central value, where the object would be at rest. Additionally, there are two or more positions between which the repetitive motion takes place. In mathematics, oscillations can also be described as vibrations. The most common examples of oscillation that is seen in daily lives include the alternating current (AC) or the motion of a moving pendulum.