Homework Answers
In this problem as some of the dimensions was not clear in the picture, I have assumed their values to be a, b and c respectively. The solution of this problem is a generalized problem. The student can get the answer of any question of this type by simply substituting the values of a, b and c respectively. Happy learning.
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the Polic r = 200 m Prob. 12-163 *12–164. The small washer is sliding down the...
A mass of feed-corn is hauled up the silo elevator on the straight path from O...
A mass of feed-corn is hauled up the
silo elevator on the straight path from O to A. When
it is at the midpoint, its speed is 2 ft/s and the
acceleration up the elevator is 0.5 ft/s2. (a) Express
the velocity and acceleration of the mass at this point
in terms of its cylindrical components (vector form).
(b) Express the velocity and acceleration of the mass
at the same point in terms of its cylindrical
components (vector form), if...
A bowler throws a bowling ball of radius R = 11 cm down a lane. The...
A bowler throws a bowling ball of radius R = 11 cm down
a lane. The ball slides on the lane with initial speed
vcom,0 = 11.0 m/s and initial angular speed
ω0 = 0. The coefficient of kinetic friction
between the ball and the lane is 0.22. The kinetic frictional force
fk acting on the ball causes a
linear acceleration of the ball while producing a torque that
causes an angular acceleration of the ball. When speed
vcom has...
A spherical bowling ball with mass m = 3.8 kg and radius R = 0.106 m...
A spherical bowling ball with mass m = 3.8 kg and radius R = 0.106 m is thrown down the lane with an initial speed of v = 8 m/s. The coefficient of kinetic friction between the sliding ball and the ground is p = 0.33. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down...
The disk, with r-0.5 m, is rolling down a slope without slipping at an angle of...
The disk, with r-0.5 m, is rolling down a slope without slipping at
an angle of 15 degrees
v(disk center)O= 2.5 m/s, a linear acceleration magnitude of 0.30
m/s2. Gamma is 60 degrees.
velocity vector of point Q =?
the acceleration vector of point Q=?
Position vector after rolling down the slope from O to Q
a O 니
The small block P travels with constant speed v = 1.70 m/s in the circular path...
The small block P travels with constant speed v = 1.70 m/s in the circular path of radius r = 1.32 m on the inclined surface. If 0 = 0 at time t = 0, determine the x-, y, and z-components of velocity and acceleration at time t = 2.1 s. Answers: At t = 2.1 s -0.072097 m/s, ax = i -1.9656 m/s2 1.698106 m/s, ay = -0.10331 m/s2 0.035164 m/s, a, = 0.958695573 m/s2 N
A small solid glass sphere, with a mass m and radius r, is placed on the...
A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius radius R of the loop and the height h. (Use the following as necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.111 m...
A spherical bowling ball with mass m = 3.3 kg and radius R = 0.111 m is thrown down the lane with an initial speed of v = 8.9 m/s. The coefficient of kinetic friction between the sliding ball and the ground is μ = 0.29. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1)What is the magnitude of the angular acceleration of the bowling ball as it slides down the...
7. General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s...
7.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
A snowmobile is originally at the point with position vector 30.9 m at 95.0° counterclockwise from...
A snowmobile is originally at the point with position vector 30.9 m at 95.0° counterclockwise from the x axis, moving with velocity 4.49 m/s at 40.0°. It moves with constant acceleration 2.10 m/s2 at 200°. After 5.00 s have elapsed, find the following. (Express your answers in vector form.) (a) its velocity vector v with arrow = m/s (b) its position vector r with arrow = m
R r up Left Right Down A spinning disk is rotating at a rate of 2 rad/s in the counterclockwise d...
r r up Left Right Down A spinning disk is rotating at a rate of 2 rad/s in the counterclockwise direction as shown in the figure. What is the direction of the angular velocity vector? Incorrect right Incorrect down Correct: up Incorrect left s answer now shown above. You are correct. receipt no. is 160-4295 If the disk is speeding up at a rate of 2 rad/s2, what is the direction of the angular acceleration vector? Incorrect down Incorrect left...
A mass of feed-corn is hauled up the
silo elevator on the straight path from O to A. When
it is at the midpoint, its speed is 2 ft/s and the
acceleration up the elevator is 0.5 ft/s2. (a) Express
the velocity and acceleration of the mass at this point
in terms of its cylindrical components (vector form).
(b) Express the velocity and acceleration of the mass
at the same point in terms of its cylindrical
components (vector form), if...
A bowler throws a bowling ball of radius R = 11 cm down
a lane. The ball slides on the lane with initial speed
vcom,0 = 11.0 m/s and initial angular speed
ω0 = 0. The coefficient of kinetic friction
between the ball and the lane is 0.22. The kinetic frictional force
fk acting on the ball causes a
linear acceleration of the ball while producing a torque that
causes an angular acceleration of the ball. When speed
vcom has...
A spherical bowling ball with mass m = 3.8 kg and radius R = 0.106 m is thrown down the lane with an initial speed of v = 8 m/s. The coefficient of kinetic friction between the sliding ball and the ground is p = 0.33. Once the ball begins to roll without slipping it moves with a constant velocity down the lane. 1) What is the magnitude of the angular acceleration of the bowling ball as it slides down...
The disk, with r-0.5 m, is rolling down a slope without slipping at
an angle of 15 degrees
v(disk center)O= 2.5 m/s, a linear acceleration magnitude of 0.30
m/s2. Gamma is 60 degrees.
velocity vector of point Q =?
the acceleration vector of point Q=?
Position vector after rolling down the slope from O to Q
a O 니
The small block P travels with constant speed v = 1.70 m/s in the circular path of radius r = 1.32 m on the inclined surface. If 0 = 0 at time t = 0, determine the x-, y, and z-components of velocity and acceleration at time t = 2.1 s. Answers: At t = 2.1 s -0.072097 m/s, ax = i -1.9656 m/s2 1.698106 m/s, ay = -0.10331 m/s2 0.035164 m/s, a, = 0.958695573 m/s2 N
A small solid glass sphere, with a mass m and radius r, is placed on the inclined section of the metal track shown below, such that its lowest loop. The sphere is then released from rest, and it rolls on the track without slipping. In your analysis, use the approximation that the radius radius R of the loop and the height h. (Use the following as necessary: M, R, and g for the acceleration of gravity.) Solid sphere of mass...
7.
General Motion with Unit Vectors and Components An object undergoes the following consecutive displacements: s (2i +3j +5k)m,s2 (6i- 9j + 2k)m, and s3 (10i 8j -k)m. a) Find the resultant displacement in terms of unit vectors and components. b) State the magnitude of the resultant displacement. 2. Suppose a hiker travels 5 km southwest from their camp. Then, the hiker travels 2 km 75° north of east. a) Find the displacement of the hiker form their camp. b)...
r r up Left Right Down A spinning disk is rotating at a rate of 2 rad/s in the counterclockwise direction as shown in the figure. What is the direction of the angular velocity vector? Incorrect right Incorrect down Correct: up Incorrect left s answer now shown above. You are correct. receipt no. is 160-4295 If the disk is speeding up at a rate of 2 rad/s2, what is the direction of the angular acceleration vector? Incorrect down Incorrect left...
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