A 12.0 kg box resting on a horizontal, frictionless surface is attached to a 5.00 kg weight by a thin, light wire that passes over a frictionless pulley . The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of the box, and (c) the horizontal and vertical components of the force that the axle exerts on the pulley.
Q: A block of mass m, = 1.65 kg and a block of mass m, = 5.85 kg are connected by a massless string…
A: (a) Free-body-diagram
Q: While exercising in a fitness center, a man lies face down on a bench and lifts a weight with one…
A:
Q: Engineers are designing a system by which a falling mass m imparts kinetic energy to a rotating…
A:
Q: A weight with mass ?w=250 g is tied to a piece of thread wrapped around a spool, which is suspended…
A: Write the net force experienced by mass mw.
Q: A hanging weight, with a mass of m₁ = 0.365 kg, is attached by a string to a block with mass m₂ =…
A:
Q: A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope…
A:
Q: A uniform disk with mass 40.0 kg and radius 0.200 m is pivoted at its center about a horizontal,…
A: Mass of the disk , M = 40 kg Radius of the disk , R = 0.2 m Tangential force , F = 30 N To find =…
Q: A block of mass m1 = 1.50 kg and a block of mass m2 = 6.25 kg are connected by a massless…
A:
Q: A uniform solid sphere, of mass M = 6.00 kg and radius R = 25 cm, is rolling without slipping from…
A: Given, Mass of sphere,m=6 kg Radius,R=25 cm=0.25 m Angle of inclination,θ=30° Height,h=1.2 m
Q: A 69.4-kg grindstone is a solid disk 0.54 m in diameter. You press an ax down on the rim with a…
A:
Q: Two buckets of mass mj = 18.3 kg and m2 12.1 kg are attached to the ends of a massless rope which…
A:
Q: A sphere of mass 5 kg and a block of mass m, =3 kg are connected by a light cord that passes over a…
A: mass of sphere = 5 kg The tension in the part of the string connecting sphere (T) = 5 (g-a)…
Q: a uniform sphere of mass m = 1.99 kg and radius r = 0.314 m is held in place by a massless rope…
A: Given information:
Q: nuscles in the back of the upper leg. The weight has mass 12.5 of inertia of the lower leg is 0.900…
A: Given:- The mass of the lifted weight is m = 12.5 kg the distance r = 28 cm = 0.28 m The moment…
Q: A yo-yo-shaped device mounted on a frictionless rotation axis is used to lift a 30 kg box. The outer…
A: Given: Force G : 140 N Mass of block m : 30 kg Acceleration of the block a = 0.8 m/s2 Inner radius r…
Q: A block of mass m, = 2.45 kg and a block of mass m, = 5.65 kg are connected by a massless string…
A:
Q: Two buckets of mass m1=19.3 kg and m2=10.9 kg are attached to the ends of a massless rope which…
A:
Q: A metal hoop with 0.21 kg of mass and 0.060 m of radius rolled without slipping on a horizontal…
A:
Q: A block with mass m1 = 3.00 kg sits on a horizontal table and is attached to a rope. The rope then…
A:
Q: Block 1 with mass m1=4.68 kg rests on a horizontal ledge with negligible friction. This block is…
A: Using conservation of energy,
Q: The crane shown in the figure is lifting a 226-kg crate upward with an acceleration of 4.52 m/s².…
A: The answer is given below,
Q: hilé exercising in a fitness center, a man lies face down on a bench and lifts a weight with one…
A: Given that: m=10.5 kgd1=28.0 cm=0.280 mF=1430 Nd2=3.45 cm=0.0345 mIL=0.900 kgm2
Q: A box of unknown mass is suspended from the end of a strong, thin wire. The other end of the wire is…
A:
Q: A solid cylinder is mounted above the ground with its axis of rotation oriented horizontally. A rope…
A: Step 1: Step 2: Step 3: Step 4:
Q: A small box with a mass of 6.61 kg is being swung around on the end of a string which has a length,…
A: Given : Length (L) = r =1.52 m Velocity (v) = 3.20 m/s Mass (m) = 6.61 kg Coefficient of kinetic…
Q: heavy swing door has a mass of m = 8,500 kg, a width w = 1.0 m, and a height H = 3.8 m. The door…
A:
Q: A potter's wheel having a radius 0.52 m and a moment of inertia of 11.3 kg · m2 is rotating freely…
A: The given values are, r=0.52 mI=11.3 kg·m2ω=53 rev/min=53 rev/min2π rad1 rev1 min60 s=5.55…
Q: aving radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of 0 =…
A:
Q: A potter's wheel is rotating around a vertical axis through its center at a frequency of 1.8 rev/s .…
A: Given data: Initial frequency of the wheel (f) = 1.8 rev/s.Mass of the wheel (M) = 5.0 kg.Diameter…
Q: A 3.00-kg stone is tied to a thin, light wire wrapped around the outer edge of the uniform 8.00-kg…
A:
Q: In the figure, a uniform sphere of mass m = 1.76 kg and radius r = 0.232 m is held in place by a…
A:
Q: A way to test the tensile strength of a wire is to place a mass at the end of it and spin the…
A: a) Determine the speed of mass.
Q: A potter's wheel—a thick stone disk with a radius of 0.570m and a mass of 118kg—is freely rotating…
A: Solution:- Given data in the question
Q: A piece of wood is pressed against a spindle sanding disk which is a uniform disk with a radius of…
A: Let ωi denotes the initial angular speed, v denotes the initial tangential speed, and r denotes the…
Q: A potter's wheel having a radius 0.48 m and a moment of inertia of 10.5 kg · m2 is rotating freely…
A:
A 12.0 kg box resting on
a horizontal, frictionless surface is attached
to a 5.00 kg weight by a thin, light
wire that passes over a frictionless pulley
. The pulley has the shape
of a uniform solid disk of mass 2.00 kg
and diameter 0.500 m. After the system
is released, find (a) the tension in the
wire on both sides of the pulley, (b) the
acceleration of the box, and (c) the horizontal and vertical components
of the force that the axle exerts on the pulley.
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 10 images
- 10.16 A 12.0-kg box resting on a horizontal, frictionless surface is attached to a 5.00-kg weight by a thin, light wire that passes over a frictionless pulley (Fig. E10.16). The pulley has the shape of a uniform solid disk of mass 2.00 kg and diameter 0.500 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of the box, and (c) the horizontal and vertical components of the force that the axle exerts on the pulley. 12.0 kg 5.00 kgThe frame is made from uniform rod which has a mass p per unit length. A smooth recessed slot constrains the small rollers at A and B to travel horizontally. Force P is applied to the frame through a cable attached to an adjustable collar C. Determine the magnitudes and directions of the normal forces which act on the rollers if (a) h = 0.24L, (b) h = 0.50L, and (c) h = 0.91L. The forces will be positive if up, negative if down. Evaluate your results for p = 1.8 kg /m, L = 575 mm, and P = 48 N. What is the acceleration of the frame in each case? (a) Answers: (b) L (c) A h = 0.24L: h = 0.50L: h = 0.91L: L A = A A = B i i i P B N₁ B N, B N, i i N₁ª N,9 N₁9 i i m/s m/s m/sIn the figure, a uniform sphere of mass m = 0.551 kg and radius r = 0.139 m is held in place by a massless rope attached to a frictionless wall a distance L = 2.31 m above the center of the sphere. Find (a) the tension in the rope and (b) the force on the sphere from the wall.
- A 3.9-kg sphere is suspended by a cord that passes over a 1.5-kg pulley of radius 3.3 cm. The cord is attached to a spring whose force constant is k = 86 N/m as in the figure below. Assume the pulley is a solid disk. wwww (a) If the sphere is released from rest with the spring unstretched, what distance does the sphere fall through before stopping? m (b) Find the speed of the sphere after it has fallen 25 cm. m/sA 250 g piece of kryptonite is attached to a 90 cm long masless string to form a pendulum. At its highest point (Point A) the string makes an angle of 55 degrees with the vertical. Its lowest point is Point B and Point C is where the string makes an angle of 35 degrees with respect to the vertical. Find the tension in the string and angular acceleration of the rock at (a) Point A, (b) Point B and (c) Point C. (a) Draw a free body diagran of the kryptonite, including all relevant angles and axes at Point A, Point B, and Point C. (Three total FBD) (b) Find the angular speed, angular acceleration and tension in the string at Point A. (c) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point B. (d) Find the angular speed, angular acceleration, centripetal force and tension in the string at Point C.yo-yo with an inner cylinder of r = 3.5 cm and outer radius of R = 6.50cm is at rest on a theta = 30 degree incline. Itis held in place by friction and the tension in the string that is wrapped around its inner cylinder, as shown in the figure. Assume that the positive x-direction points down the incline. Determine the friction force if the mass of the yo-yo is 420g.
- The 11 kg disk has an angular velocity of w = 20 rad/s. (Figure 1) Figure 400 mm 500 mm 200 mm- A B ⒸO 500 mm с P (N) 5 2 1 of 1 -t(s) Part A If the brake ABC is applied such that the magnitude of force P varies with time as shown, determine the time needed to stop the disk. The coefficient of kinetic friction at B is μ = 0.4. Neglect the thickness of the brake. Express your answer to three significant figures and include the appropriate units. t = 0 Submit Value μA Provide Feedback Request Answer Units ? Next >A block of mass m1 = 2.05 kg and a block of mass m2 = 6.35 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 10.0 kg. The fixed, wedge-shaped ramp makes an angle of ? = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.360 for both blocks. (c) Determine the tensions in the string on both sides of the pulley.A cylindrical metal drum, with a radius of 0.25 m, has an inertia of 11.0.kg. The drum is hollow and you may neglect the inertia of the top and bottom of the drum. The drum is free to rotate about an axle that runs through its centre and along its long axis. A cord is wrapped around the drum. The cord is pulled straight from the drum with a constant force of 60 N. As the cord unwinds, the drum rotates, with no slippage between the cord and the drum. (a) Calculate the work done by person pulling the cord as the drum rotates through 100 radians. Give your answer in Joules (b) Assuming the drum starts from rest, what is the rotational speed of the tyre after it has rotated through 100 radians? Give your answer in rad.s
- 1. In the figure below, block 1 has a mass of m1 = 450 g and block 2 has a mass of m2 = 500 g. The pulley, which is mounted on a horiztonal axle with negligible friction through its center, has a radius of 5.00 cm. When released from rest, block 2 falls without the cord slipping on the pulley, travelling 75.0 cm before it reaches a speed of 0.300 m/s. What is the rotational inertia of the pulley? m2= - = 6. A mass M₁ 10 kg resting on a horizontal frictionless surface is attached to a M₂ = 7 kg weight by a light wire that passes over a frictionless pulley. See figure. The pulley has the shape of a uniform disk of mass M3 4 kg and radius R 0.3 m. After the system is released, find (a) the tension in the wire on both sides of the pulley, (b) the acceleration of M₁, and (c) the horizontal and vertical forces that the axle exerts on the pulley. M1 M 3 M2A jewel smith wishing to buff a finished piece of jewelry attaches a buffing disk to his drill. The radius of the disk is 3.60 mm and he operates it at 2.25 x 10 rad/s (a) Determine the tangential speed of the rim of the disk. 181 m/s (b) The jeweler increases the operating speed so that the tangential speed of the rim of the disk is now 285 m/s. What is the period of rotation of the disk now? 7.94e-5x Your answer cannot be understood or graded. More Information s