The uniform solid block in the figure has mass 30.9 kg and edge lengths a = 0.614 m, b = 1.51 m, and c = 0.0972 m. Calculate its rotational inertia about an axis through one corner and perpendicular to the large faces. Rotation axis Number i Units

Q: aring The angular velocity of a 755-g wheel 15.0 cm in diameter is given by the equation wif) =…

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Q: Calculate the rotational inertia of a meter stick, with mass 0.572 kg, about an axis perpendicular…

A: Given: The mass of the meter stick is m = 0.572 kg The length of the meter stick is L = 100 cm The…

Q: At a time t = 3.10 s, a point on the rim of a wheel with a radius of 0.170 m has a tangential speed…

A: Solution      Given dataTime t=3.10secWheel radius r=0.170mTangential speed v=50m/sTangential…

Q: The figure below shows forces acting at various points on a metal cylinder. The angles a = 42°, B =…

A: Given data: Length of cylinder, l=3.6 m. Angle, α=42°. Angle, β=31°. Angle, γ=15°. Force, F1=30 N.…

Q: F3 F1 F2

A: Given, Radius, r=0.53m F1=14.7N F2=11.1N F3=11.5N Net torque is given by, τnet=∑r×F

Q: A motorcyclist is traveling along a road and accelerates for 5.68 s to pass another cyclist. The…

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Q: A vertical solid disk of uniform mass M = 7 kg and radius R = 0.5 m is pivoted from point O as shown…

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Q: (Figure 1) shows the angular velocity graph of the crankshaft in a car. Part A What is the…

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Q: The reel of cable has a mass of 450 kg and a radius of gyration of kA = 0.75 m. The force P =…

A: The solution of the question is given below:

Q: A skater is initially spinning at a rate of 25.0 rad/s with a rotational inertia of 3.00 kg-m2 when…

A: Concept: When Net external torque acting on the system is zero then the angular momentum of the…

Q: A bicycle wheel starts to accelerate fromw rad/s using one decimal place.

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Q: The assembly shown consists of two rods and a rectangular plate BCDE that are welded together. The…

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Q: A horizontal force of P= 100 N is applied to the 330-kg reel of cable. The reel rests on rollers at…

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Q: Constants | Pe A small rubber wheel is used to drive a large pottery wheel. The two wheels are…

A: Given data: Radius of smaller wheel is r=7 cm. Angular acceleration of smaller wheel is α2=7…

Q: The uniform solid block in the figure has mass 17.0 kg and edge lengths a = 0.851 m, b = 1.74 m, and…

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Q: 12.0 N 30.0% b 10.0 N 9.00 N The figure shows one cylinder inside another. The inner cylinder has a…

A: Given: mass of inner cylinder, ma=2 kg mass of inner cylinder, ra=0.5 m radius of outer cylinder,…

Q: Calculate the rotational inertia of a meter stick, with mass 0.403 kg, about an axis perpendicular…

A: We will use the parallel axis theorem to calculate the M.I. about the given axis. Parallel axis…

Q: The uniform solid block in the figure has mass 33.9 kg and edge lengths a = 0.618 m, b = 1.79 m, and…

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Q: Calculate the rotational inertia of a meter stick, with mass 0.372 kg, about an axis perpendicular…

A: Given mass m = 0.372 kg Length L =1 m

Q: A wheel of inner radius r, = 13.4 cm and outer radius r2 = 35.0 cm shown in the figure below is free…

A: Givenr1=13.4 cm=0.134 mr2=35.0 cm=0.35 mF1=3.80 NF2=6.60 NF3=14.6 N

Q: The figure below shows forces acting at various points on a metal rod. The angles a = 50°, B = 35°,…

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Q: Calculate the rotational inertia of a meter stick, with mass 0.642 kg, about an axis perpendicular…

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Q: A rod rotates about a pivot at its center at 2 rad/s. Its angular velocity increases to 14 rad/s in…

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Q: A square, 0.144 m on a side, is mounted so that it can rotate about an axis that passes through the…

A: Side of the square, s = 0.144 mForce, F = 10.5 NTorque is the rotational equivalent of force and is…

Q: Starting from rest, a wheel reaches and angular speed of 5.435 π rad/s in 12.65 s. a) Find the…

A: Given: ω=5.435π rad/s, t=12.65 s

Q: A bar on a hinge starts from rest and rotates with an angular acceleration a = 15 + 7t, where a is…

A: Given Data Initial angular velocity of the bar is ω0=0 Angular acceleration of the bar is given as…

Q: A solid uniform sphere of mass 2.92 kg and diameter 78.6 cm spins about an axle through its senter.…

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Q: Calculate the rotational inertia of a meter stick, with mass 0.677 kg, about an axis perpendicular…

A: Given: Mass of stick m=0.677 kg, Length of stick L=1 m=100 cm. Position of axis at 33.8 cm mark,…

Q: 1. A potter's wheel of mass 10 kg and radius 30 cm radius can be modelled as a uniform disk. (a) The…

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Q: Three forces are applied to a wheel of radius 0.350 m, as shown in the figure (Figure 1). One force…

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Q: The uniform solid block in the figure has mass 39.0 kg and edge lengths a = 0.763 m, b = 1.58 m, and…

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Q: During the spin cycle of your clothes washer, the tub rotates at a steady angular velocity of 38.3…

A: Angular velocity (ω) = 38.3 rad/ s Time= 81.7 s

Q: A particle is located at the point with coordinates (0, 3, 6) m, and the force acting on it is F=…

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Q: The 47-kg flywheel has a radius of gyration of ko = 300 mm about its center of mass. (Figure 1)…

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Q: In the figure, what magnitude of force F applied horizontally at the axle of the wheel is necessary…

A: The height of the obstacle is h=0.342 m. The radius of the wheel is r=0.746 m. The mass of the wheel…

Q: A wheel of inner radius r, = 14.6 cm and outer radius r, = 35.0 cm shown in the figure below is free…

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Q: A uniform solid 5.25-kg cylinder is released from rest and rolls without slipping down an inclined…

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Q: A force in the +y direction applied at the point x = 8.1 m, y = 8.1 m gives rise to a torque of 63.7…

A: Given data The x coordinate is given as x = 8.1 m. The y coordinate is given as y = 8.1 m. The…

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.