A 12.9-kg block is attached to a cord that is wrapped around the rim of a pulley of diameter 0.32 m and hangs vertically, as shown: lo The rotational inertia of the pulley is 0.50 kg.m². When the block is released and the cord unwinds, what is the acceleration of the block? Express your answer in m/s², to at least one digit after the decimal point. 0.39

A 12.9-kg block is attached to a cord that is wrapped around the rim of a pulley of diameter 0.32 m and hangs vertically, as shown: lo The rotational inertia of the pulley is 0.50 kg.m². When the block is released and the cord unwinds, what is the acceleration of the block? Express your answer in m/s², to at least one digit after the decimal point. 0.39

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter1: Introduction To Statics

Section: Chapter Questions

Problem 1.7P: When a force F acts on a linear spring, the elongation x of the spring is given by F = kx, where k...

See similar textbooks

Similar questions

A circular saw blade 0.6 m in diameter starts from rest and accelerates with constant acceleration to an angular velocity of 100 rad.s-1 in 20 s. Find the angle in degrees through which the blade has turned in the 20-s interval
The iillustration depicts a prototype design for the High-G Rover. It is made up of an arm that is attached to a shaft that is pinned to a disk. The aarm has a retractable shaft that extends and contracts to cause the disk to rotate. To make the computation easier, let us assumee that the arm does nott rotate A. If the arm's total length is L = 640mm, the distance from the centre of the disk to the shaft pin is r = 112mm, and the arm rotates clockwise at a constant angular velocity of 250.273 rpm. 1.) Would an increase in angular velocity increase point C's linear velocity relative to point A? If so, why or why not? a.) What is the linear velocity of point C with respect to point A if the angular position of the pin (between AB and BC) is 0.578 radians? b.) What is the distance between points A and C if the angular position of the pin (between AB and BC) is 0.578 radians? c.) What is the linear velocity of point C with respect to point A if the angular velocity is increased by 34.34…
A uniform rod (mass = 1.8 kg) is 1.5 m long. The rod is pivoted about a horizontal, frictionless pin through one end. The rod is released from rest in a horizontal position. What is the angular speed of the rod (in rad/s) when the rod makes an angle of 23° with the horizontal?. The moment of inertia of the rod about this axis is given by (1/3)ML2.
What will be the acceleration (include direction) of this system of blocks connected by rope and pulley"! Mass x = 2.82 kg and mass y = 1.10 kg. Assume that the rightward direction is positive. Ignore any friction in the table or pulley or any elasticity of the rope. 0.59 kg x kg D y kg Round your final answer to the nearest thousandth. Use g-9.81 m/s^2. Include metric units. As always please use "A" for power, as in "ft^2" for square feet.
In a manufacturing process, a large, cylindrical roller is used to flatten material fed beneath it. The diameter of the roller is 7.00 m, and, while being driven into rotation around a fixed axis, its angular position is expressed as 0 = 2.10t? - 0.800r where 0 is in radians and t is in seconds. (a) Find the maximum angular speed of the roller. rad/s (b) What is the maximum tangential speed of a point on the rim of the roller? m/s (c) At what time t should the driving force be removed from the roller so that the roller does not reverse its direction of rotation? |s (d) Through how many rotations has the roller turned between t = 0 and the time found in part (c)? | rotations
The 11.6 slug block is moving down from time t = 0 to t = 5 seconds with constant acceleration; it's velocity during this time is depicted in the chart below (up is considered the positive direction): time (sec) v(ft/sec) 0 -3 1 -3 2 -3 3 -3 -3 5 -3 Determine the rope tension in pounds. Your answer should include at least one digit after the decimal place.
Determine the angular velocity, in rpm, of the rotating drum which results in loss of contact between the clothes and the drum at 0.6985 rad. Assume that the small vanes prevent slipping until loss of contact. Round your answer to 2 decimal places.
A particular bicycle has wheels that are 66 cm in diameter. The radius of the crank armis 18 cm. At its lowest point, the pedal is 16 cm above the ground. A person is pedalingthe bicycle such that the crank arm rotates once every second.Questions:1. Write an equation that models the vertical position of the foot with respect to theground, starting from the lowest point, as the crank arm turns.2. What is the rate of change of the vertical position of the foot when it is at themidline? Explain your answer3. How fast, in kilometres per hour, is the bicycle moving?4. Determine an equation that would model the foot’s position when the cyclist istraveling 5 km/h. Compare this equation to your equation from question 1 andexplain any differences.5. Use calculus to explain why the rotation velocity of a point on the perimeter of awheel is the same as the velocity of the pedal. Use examples to support youranswer.
A force of 100 N is applied to the centre of a circular disc, of mass 10 kg and radius 1 m, resting on a floor as shown in the figure. If the disc rolls without slipping on the floor, the linear acceleration (in m/s²) of the centre of the disc is (correct to two decimal places). 100N
In a rope-climbing competition, all of the lifting is done by the arms; legs can only dangle. Imagine 220-lb Garvin Smith in training, hanging stationary from the rope, his legs off the floor. When prompted by his coach, he rapidly lifts his center of mass by 4 ft. in 0.65 s. Calculate Garvin Smith's acceleration. Round the final answer to one decimal place. Determine the net force (“force imbalance”) producing the acceleration. Round the final answer to one decimal place. Which forces are acting on Smith? (Note that his arms are part of himself, so they cannot exert a force on Smith.) With what magnitude force is Smith pulling down on the rope? Round the final answer to one decimal place. The force of 130.2 lb points _____.
The piston of the hydraulic cylinder gives pin A a constant velocity v = 2.1 ft/sec in the direction shown for an interval of its motion. For where r = OA. the instant when = 54%, determine , r, 0, and 6.1" ✓ Answers: r = r = 0 = ÿ = i -1.6989 i 1.9645 i 2.425 10.623 ft/sec ft/sec² rad/sec rad/sec²
An electric motor has a rotor with a mass moment of inertia of 22 ft-lb-s2. What torque is required to accelerate it from rest to 1,174 rpm in 3.6 seconds? Provide your answer in lb-ft and round to the nearest whole number. An electric motor has a rotor with a mass moment of inertia of 22 ft-lb-s2. What torque is required to accelerate it from rest to 1,174 rpm in 3.6 seconds? Provide your answer in lb-ft and round to the nearest whole number.