Physics for Scientists and Engineers
6th Edition
ISBN: 9781429281843
Author: Tipler
Publisher: MAC HIGHER
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Chapter 9, Problem 78P
(a)
To determine
To Find: Acceleration of the objects.
(b)
To determine
To Find: Tensions in the strings.
(c)
To determine
To Find: The answers to the above parts of the mass of the pulley is neglected.
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An object of mass
M = 13.0 kg
is attached to a cord that is wrapped around a wheel of radius
r = 10.5 cm
(see figure). The acceleration of the object down the frictionless incline is measured to be
a = 2.00 m/s2
and the incline makes an angle
? = 37.0°
with the horizontal. Assume the axle of the wheel to be frictionless.
A pulley (in the form of a uniform disk) with
mass Mp and radius Rp is attached to the
ceiling in a uniform gravitational field g and
rotates with no friction about its pivot. Mass
M2 is larger than mass mı, and they are
connected by a massless inextensible cord.
T1, T2, and Ts are magnitudes of the tensions.
What is the relationship between the ten-
sion T and mi g?
T3
R
1. T¡ m1 9
ANS = OPTION 4
NEED SOLUTION
Skateboarder is attempting to make a circular arc of radius r= 15 m in a parking lot. The total mass of the skateboard and skateboarder is m= 99kg. The coefficient of static friction between the surface of the parking lot in the wheels on the skateboard is us = 0.58. (A) what is the maximum speed, in meters per second, he can travel through the arc without slipping? (b) he speeds up very slightly and begins to slide. The coefficient of kinetic friction is up=0.18. What is the new magnitude of his radio acceleration in m/s^2? 
Chapter 9 Solutions
Physics for Scientists and Engineers
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- A man stands on a merry-go-round that is rotating at 2.5 rad/s. If the coefficient of static friction between the man’s shoes and the merry-go-round is s=0.5 , how far from the axis of rotation can he stand without sliding?arrow_forwardA car traveling on a flat (unbanked), circular track accelerates uniformly from rest with a tangential acceleration of 1.75 m/s. The car makes it one quarter of the way around the circle before it skids off the track. From these data, determine the coefficient of static friction between the car and track. 0.56 You appear to have forgotten that the static force of friction is also responsible for the tangential acceleration of the car.arrow_forwardWhen you take your 1900-kg car out for a spin, you go arounda corner of radius 53 m with a speed of 13 m>s. The coefficient ofstatic friction between the car and the road is 0.88. Assuming yourcar doesn’t skid, what is the force exerted on it by static friction?arrow_forward
- A skateboarder is attempting to make a circular arc of radius r=15 m in a parking lot. The total mass of the skateboard and skateboarder is m= 99kg. The coefficient of static friction between the surface of the parking lot and the wheels of the skateboard is us=0.58. (A) what is the maximum speed, in meters per second, he can travel through the arc without slipping? (b) he speeds up very slightly and begins to slide. The coefficient of kinetic friction is I’m=0.18. What is the new magnitude of his radial acceleration in m/s^2?arrow_forwardA potter's wheel-a thick stone disk of radius 0.500 m and mass 125 kg-is freely rotating at 50.0 rev/min. The potter can stop the wheel in 6.00 s by pressing a wet rag against the rim and exerting a radially inward force of 66.0 N. Find the effective coefficient of kinetic friction between the wheel and rag.arrow_forwardThe County Fair Swing carries the mass of riders and chairs in an unchanging circular path in an horizontal plane while suspended by mass-less cables. Let's assume that: Each chair with riders is supported by a single cable The tension in the cable equals 2.5 x the total weight riders and chair The radius of the circular path is 16.6 meters Determine the rate of rotation in radians per second.arrow_forward
- A 1200 kg car is driving in a circle with a radius of 10 m. If the car has a tangential velocity of 30 m/s, find the coefficient of kinetic friction between the tires and the road.arrow_forward2 kg mass is tied to a string at one end and rotated in a horizontal circle of radius 0.8 m about the other end. If the breaking tension in the string is 250 N, find the maximum speed at which mass can be rotated.arrow_forwardA 0.20 kg yo-yo attached to a 0.60 m string is swung in a circle in the horizontal plane. Find the tension in the string if the yo-yo has an angular velocity of 150 revolutions per minute.arrow_forward
- A sled with a mass of 25.0 kg rests on a horizontal sheet of essentially frictionless ice. It is attached by a 5.00 m rope to a post set in the ice. Once given a push, the sled revolves uniformly in a circle around the post. If the sled makes five complete revolutions every minute, find the force F exerted on it by the rope.arrow_forwardthree flat disks (of the same radius) that can rotate about their centers like merry-go-rounds. Each disk consists of the same two materials, one denser than the other (density is mass per unit volume). In disks 1 and 3, the denser material forms the outer half of the disk area. In disk 2, it forms the inner half of the disk area. Forces with identical magnitudes are applied tangentially to the disk, either at the outer edge or at the interface of the two materials, as shown. Rank the disks according to (a) the torque about the disk center, (b) the rotational inertia about the disk center, and (c) the angular acceleration of the disk, greatest first.arrow_forwardA (Yo-Yo) of mass m has an axle of radius b and spool of radius R. It's 1 moment of inertia be taken to be I = mR? and the thickness of the string %3D 2.arrow_forward
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