The conveyor belt shown below runs at a constant speed vb, uphill at an angle 0 relative to horizontal as shown in the figure below. A slippery (but not frictionless) block of ice is placed on the belt at location s = 0. At the instant the block is released, it has zero speed. After release, the block of ice begins moving up the belt. Sometime before the block reaches the top of the belt, its speed matches that of the belt. The variable s represents the distance of the ice block from its starting point. On the axes below, generate plots of s, s, and š (not necessarily in that order) as functions of time. Time t = 0 corresponds to the block being placed on the belt. The right end of time axis corresponds to the time that the block reaches the top of the belt.

The conveyor belt shown below runs at a constant speed vb, uphill at an angle 0 relative to horizontal as shown in the figure below. A slippery (but not frictionless) block of ice is placed on the belt at location s = 0. At the instant the block is released, it has zero speed. After release, the block of ice begins moving up the belt. Sometime before the block reaches the top of the belt, its speed matches that of the belt. The variable s represents the distance of the ice block from its starting point. On the axes below, generate plots of s, s, and š (not necessarily in that order) as functions of time. Time t = 0 corresponds to the block being placed on the belt. The right end of time axis corresponds to the time that the block reaches the top of the belt.

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

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter7: Dry Friction

Section: Chapter Questions

Problem 7.79P: The coefficient of rolling resistance between the 30-kg lawn roller and the ground is r=0.1. (a)...

See similar textbooks

Similar questions

A system of a 50 kg empty trolley and a 140 kg counterweight is shown in Figure below. After the counterweight has dropped 10 m from rest, the velocity of the trolley is 6 m/s. If all frictional resistances can be regarded as a single force F acting on the trolley parallel to the inclined plane, calculate the resistance of the force. Note that pulleys are smooth and frictionless.
The track for this racing event was designed so that riders jump off the slope at 35°, from a height of 2.25 m. During a race it was observed that the rider shown in Figure below remained in mid air for 0.75 s. Determine the speed at which he was traveling off the ramp, the horizontal distance he travels before striking the ground, and the maximum height he attains. Neglect the size of the bike and rider.
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m / s? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system
In the system shown, a spring is compressed and pushes a mass of 50Kg down the path shown with two different slopes. If the spring has a constant of 25 kN / m, what would have to be the deflection of the spring for the block to reach the limit at 2 m/s ? The coefficient of kinetic friction is 0.15 and assume that starting from rest to make the ideal system
A trailer with a weight of the trailer of m1=2050kg, with a weight of m2=6100 , enters a ramp with a positive slope 2% as shown in the figure.When it first enters the ramp , its speed is v0=72km/h and it travels along the ramp a=345m and its speed is v1=88km/h. Question 1: Total average force generated on the wheels of the tow truck? Question 2: Calculate the average force generated between the trailer and the tow truck?
In a 300-rough incline, a 1.25 kg block is initially at rest beside a spring that is compressed by 24 cm as shown in the figure below. The spring has a spring constant of 180 N/m and the coefficient of sliding friction between the incline and the block is 0.23. When the spring is released, (a) how far up the incline (with respect to its initial position) will the block slide before sliding back? (b) What is the speed of the block at the instant it is 0.34 m from its initial position?
A motorboat and its load weigh 2150 N. Assume that the propeller force is constant and equal to 110N, and the water resistance is numerically equal to 6.7V, where V is the speed at any instant time in m/sec. If the boat starts from rest, determine its speed at the end of 10 seconds.
A child on a sled starts from rest at the top of a 15° slope. If the trip to the bottom takes 15.3 s how long is the slope? Assume that frictional forces may be neglected.
A new roller coaster contains a loop-the-loop in which the car and rider are completely upside down. -If the radius of the loop is R=13.2 m, with what minimum speed must the car traverse the loop so that the rider does not fall out while upside down at the top? Assume the rider is not strapped to the car.
Gayle runs at a speed of 4.10 m/s and dives on a sled, initially at rest on the top of a frictionless snow-covered hill. After she has descended a vertical distance of 5.00 m, her brother, who is initially at rest, hops on her back and together they continue down the hill. What is their speed at the bottom of the hill if the total vertical drop is 15.0 m? Gayle's mass is 46.5 kg, the sled has a mass of 5.25 kg and her brother has a mass of 30.0 kg.
A crate, initially traveling horizontally with a speed of 18 ft/s, is made to slide down a 14 ft chute inclined at 35◦. The surface of the chute has a coefficient of kinetic frictionμk, and at its lower end, it smoothly lets the crate ontoa horizontal trajectory. The horizontal surface at the end of the chute has a coefficient of kinetic frictionμk2. Model thecrate as a particle, and assume that gravity and the contact forces between the crate and the sliding surface are the onlyrelevant forces.Using conservation law methods, ifμk= 0.35, what is the speed with which the crate reaches thebottom of the chute (immediately before the crate’s trajectory becomes horizontal)?
To apply Newton’s second law and the theorem of conservation of energy to solve kinetic problems. A bungee jumper wants to jump off the edge of a bridge that spans a river below. The jumper has a mass m, and the surface of the bridge is a height h above the water. The bungee cord, which has lengthL when unstretched, will first straighten and then stretch as the jumper falls.Assume the following: The bungee cord behaves as an ideal spring once it begins to stretch and has spring constant k. The jumper does not actually jump but simply steps off the edge of the bridge and falls straight downward. The jumper's height is negligible compared to the length of the bungee cord. Thus, the jumper can be treated as a point particle. Use g for the magnitude of the acceleration due to gravity. How far below the bridge, d, will the jumper eventually be hanging, once the jumper stops oscillating and comes finally to rest? Assume that the jumper does not touch the water. Express your answer in…