A hoop loop -ring) with a mass of 2 kg, radius of 60 cm is released...

Question

Question

Answer 1

Answer #1

let
m = 2 kg
R = 60 cm = 0.6 m
h = 3 m

let v is the linear speed and w is the angular speed of the hoop at the bottom of the plane.

Apply conservation of mechanical energy

(1/2)*m*v^2 + (1/2)*I*w^2 = m*g*h

(1/2)*m*v^2 + (1/2)*m*R^2*w^2 = m*g*h

(1/2)*m*v^2 + (1/2)*m*(R*w)^2 = m*g*h

(1/2)*m*v^2 + (1/2)*m*v^2 = m*g*h (since v = R*w)

m*v^2 = m*g*h

v = sqrt(g*h)

= sqrt(9.8*3)

= 5.42 m/s <<<<<<<<<<-------------Answer

Answer 2

Similar Homework Help Questions

Q10 A hollow sphere and a hoop of the same mass and radius are released at...

Q10 A hollow sphere and a hoop of the same mass and radius are released at the same time at the top of an inclined plane. If both are uniform, (1) Which one reaches the bottom of the incline first if there is no slipping? (2) A uniform hollow sphere of mass 120 kg and radius 1.7 m starts from rest and rolls without slipping dow an inclined plane of vertical height 5.3 m. What is the translational speed of...
Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2...

Q4 (15 points): A uniform hoop of radius R - 15 cm and mass M 1.2 kg is placed at the top of an incline of height h-2 m. The surface of the incline makes an angle θ-30° with the horizontal. The hoop is released from rest and rolls without slipping. m MR2 for hoopl a) What is the acceleration of its center of mass (açom) during rolling? b) What is the force of friction in unit vector notation required...
A hoop of radius 0.50 m and a mass of 0.020 kg is released from rest and allowed to roll down to the bottom of an inclined plane.

A hoop of radius 0.50 m and a mass of 0.020 kg is released from rest and allowed to roll down to the bottom of an inclined plane. The hoop rolls down the incline dropping a vertical distance of 3.0 m. Assume that the hoop rolls without slipping. (a) Determine the total kinetic energy at the bottom of the incline. (b) How fast is the hoop moving at the bottom of the incline?

00 = 8 rad/s The hoop (thin ring) has a mass of 5 kg and is...

00 = 8 rad/s The hoop (thin ring) has a mass of 5 kg and is released down the inclined plane such that it has a backspinw=8 rad/s and its centre has a velocity VG = 3 m/s as shown. If the coefficient of kinetic friction between the hoop and the plane is Hoke=0.6. determine how long the hoop rolls before it stops slipping. Ug = 3 m/s 0.5 m 30°
Scenario A thin hoop of mass M and radius R is released from rest at the...

Scenario A thin hoop of mass M and radius R is released from rest at the top of a ramp of length L as shown at right. The ramp makes an angle with respect to a horizontal tabletop to which the ramp is fixed. The table top is height H above the floor. Assume that the hoop rolls without slipping down the ramp and across the table. Express all algebraic answers in terms of given quantities and fundamental constants. PARTC:...
A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls...

A thin hoop of radius r = 0.82 m and mass M = 7.3 kg rolls without slipping across a horizontal floor with a velocity v = 1.1 m/s. It then rolls up an incline with an angle of inclination theta = 44 degrees. a) What is the maximum height h reached by the hoop before rolling back down the incline? b) Now, suppose a uniform solid sphere is used instead of a hoop. Use the same values of r,...

A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely...

A uniform, solid sphere of radius 5.00 cm and mass 4.75 kg starts with a purely translational speed of 1.75 m/s at the top of an inclined plane. The surface of the incline is 1.50 m long, and is tilted at an angle of 26.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp. ?2=
A uniform, solid sphere of radius 4.00 cm and mass 2.25 kg starts with a purely...

A uniform, solid sphere of radius 4.00 cm and mass 2.25 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 33.0∘ with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed ?2 at the bottom of the ramp.
A uniform, solid sphere of radius 4.00 cm and mass 4.50 kg starts with a purely...

A uniform, solid sphere of radius 4.00 cm and mass 4.50 kg starts with a purely translational speed of 2.25 m/s at the top of an inclined plane. The surface of the incline is 2.75 m long, and is tilted at an angle of 33.0" with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v2 at the bottom of the ramp. v2 = _______ m/s

A uniform, solid sphere of radius 3.75 cm and mass 1.25 kg starts with a purely...

A uniform, solid sphere of radius 3.75 cm and mass 1.25 kg starts with a purely translational speed of 1.50 m/s at the top of an inclined plane. The surface of the incline is 1.75 m long, and is tilted at an angle of 35.0° with respect to the horizontal. Assuming the sphere rolls without slipping down the incline, calculate the sphere's final translational speed v2 at the bottom of the ramp. v2 = m/s