Thin rod about perpendicular line through one end

Q: Jared is on a merry-go-round that has an instantaneous angular speed of 3.99 rad/s and angular…

A: Given data:  Angular speed (ω) = 3.99 rad/s angular acceleration (α) = 0.63 rad/s2 Distance from…

Q: A wheel of radius R = 10.0cm, mass M = 25.0 kg, and moment of inertia I = 0.5kg.m² is mounted on a…

A: Applying Newton's second law of motion in rotational motion is τ=Iα............1τ-Torque about the…

Q: A solid cylinder has a mass 2.45kg and a radius 0.746 m. What is its moment of inertia (in unit of…

A: The formula for the moment of inertia when a solid cylinder is rotating about its central axis is:

Q: An approximate model for a ceiling fan consists of a cylindrical disk with four thin rods extending…

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Q: A pulley of moment of inertia 1.9 kg · m2 is mounted on a wall as shown in the following figure.…

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Q: The spinning top precesses at 1 revolution per second. The top has a mass of 400 grams and the…

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Q: A pitcher throws a curveball that reaches the catcher in 0.22 s. The ball curves because it is…

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Q: In the figure here, a cylinder having a mass of 2.8 kg can rotate about its central axis through…

A: Given Information:- Mass of the cylinder m=2.8 kg Forces are  F1=9.7 N, F2=8.3 N, F3=1.8 N , F4=4.5…

Q: A potter's wheel is a horizontal disk with a moment of inertia of 0.7 kg m2 rotates with a constant…

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Q: person is riding a bicycle, and its wheels have an angular velocity of 11.05 rad/s. Then, the brakes…

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Q: The figure below shows forces acting at various points on a metal shaft. The angles ? = 48°, ? =…

A: Given data, Angels, α=48°β=35°γ=21° Length l=3.6 m

Q: Determine the mass moment of inertia of a Pyrex glass shaft that is 5 ft long and has a diameter of…

A: Lenght of the shaft, diameter of the shaft, density of the pyrex glass,  radius of the shaft, Now,…

Q: Suppose you exert a force of 192 N tangential to a 0.235 m radius 75.0 kg grindstone (a solid disk).…

A: Given: The tangential force is 192 N. The radius of the disk is 0.235 m. The mass of the disk is…

Q: Suppose you exert a force of 212 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk).…

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

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Q: Given a square, as shown below, of mass m. The sides are made of uniform thin wire and each side is…

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Q: In the figure, the signs are correctly given as: W sign? sign? 4 X sign? Large wheel (big circle),…

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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 pitcher throws a curveball that reaches the catcher in 0.07s. The ball curves because it is…

A: Given data: Time (t) = 0.07 s Average angular velocity (ωav) = 493 rev/min Required: The angular…

Q: The bar in the picture below has a mass of 2 kg, uniformly distributed. Assume gravity is acting…

A: Given , Force (F ) = 10 N ,making an angle 35 degree with the horizontal. Length of the bar(l) =…

Q: A potter's wheel has the shape of a solid disk of mass 7.0 kg and radius 0.65 m. It spins about an…

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Q: The triceps muscle in the back of the upper arm extends the forearm. This muscle in a professional…

A: Given data: Force (F) = 2167 N Perpendicular lever arm = 2.15 cm = 0.0215 m Angular acceleration (α)…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 11.54 rad/s. Then, the…

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Q: The angular position of a point on a rotating wheel is given by 0 = 1.03 +4.52t² + 4.61t³, where is…

A: θ =1.03+4.52t2+4.61t3 t=0  θ = 1.03+4.52(0)2+4.61(0)3         θ = 1.03rad w =dθ/dt     =…

Q: A top has a moment of inertia of 4.8 kg-m2.  The top is spinning at 35 rpm.  How much rotational…

A: rotational kinetic energy= 64.30 joules

Q: What is the moment of inertia about an axis perpendicular to the paper and through the center of…

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Q: 9 = 1.42 + 4.85t² + 3.19t³, where e is in

A: As it has given the angular position of rotating wheel is given by θ=1.42+4·85t2+3.19t3. we need to…

Q: A wheel of radius R = 10.0cm, mass M = 25.0 kg, and moment of inertia I = 0.5kg. m? is mounted on a…

A: Option b is

Q: Suppose you exert a force of 207 N tangential to a 0.275 m radius 75.0 kg grindstone (a solid disk).…

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Q: A 0.74-mm-diameter solid sphere can be rotated about an axis through its center by a torque of 10.8…

A: Given that,A solid sphereDiameter, d=0.74 mm=0.74×10-3 mTorque,τ=10.8 N.mω= 150 revolution/14…

Q: A uniform spherical shell of mass M = 12.0 kg and radius R = 0.710 m can rotate about a vertical…

A: We will use Law of conservation of energy : 12mv2+12Iω2+12Isω22=mgh v= ωr=ω2R I of pulley = 0.0980…

Q: A 0.71-m-diameter solid sphere can be rotated about an axis through its center by a torque of 12.8…

A: Diameter of sphere is Torque is Initially it is at rest so initial angular velocity is Number of…

Q: Find the moment of inertia of the body in terms of its mass m and radius r. (Assume I is in kg · m2,…

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Q: An electric drill starts from rest and undergoes uniform angular acceleration for a period of 0.130…

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Q: A pitcher throws a curveball that reaches the catcher in 0.48 s. The ball curves because it is…

A: Given in question - The ball reaches the catcher in time∆t=  0.48 s…

Q: A person is riding a bicycle, and its wheels have an angular velocity of 11.9 rad/s. Then, the…

A: Initial angular velocity = w1 =11.9 rad/s. Final angular velocity = w2 = 0 rad/s. Angular…

Q: The wheel of radius R shown below consists of a hoop of mass m and two thin rods, each of mass M.…

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Q: A thing solid cylinder has a mass 5.17kg and a length 2.57 m. What is its moment of inertia (in unit…

A: Since the solid cylinder is very thin, it is modeled to be a rod. Moment of inertia of the rod about…

Q: N. What is the angular acceleration of the wheel?

A: Apply Newtown law of motion for rotation.

Q: Suppose you exert a force of 172 N tangential to a 0.295 m radius 75.0 kg grindstone (a solid disk).…

A: Tangential applied force (F) = 172 N Radius of disk (R) = 0.295 m Mass of grindstone (m) = 75 kg

Q: In rotational formulas, the distribution of the mass with respect to the pivot point matters. The…

A: In rotational formulas, the distribution of the mass with respect to the pivot point matters. The…

Q: Q.12 Consider a uniform thin circular disk of radius R and mass M. A concentric square of side R/2…

A: Moment of inertia of resultant disc can be obtained by subtracting moment of Inertia of cut square…