​2.​A non-uniform, 2.0 m long ladder weighing 400 N leans against a smooth vertical wall (no friction). The ladder makes an angle of 30º with the vertical to the ground. The coefficient of static friction at the ground is 0.3. A child with weight of 300 N can climb the ladder of 1.2 m before it starts to slide down. (a) The distance of the center of mass of the ladder from the contact point in the ground is _________ (b) The normal force coming from the smooth vertical wall is _________

Physics for Scientists and Engineers: Foundations and Connections
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Chapter12: Rotation I: Kinematics And Dynamics
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​2.​A non-uniform, 2.0 m long ladder weighing 400 N leans against a smooth vertical wall (no friction). The ladder makes an angle of 30º with the vertical to the ground. The coefficient of static friction at the ground is 0.3. A child with weight of 300 N can climb the ladder of 1.2 m before it starts to slide down.

(a) The distance of the center of mass of the ladder from the contact point in the ground is _________

(b) The normal force coming from the smooth vertical wall is _________

 

 

 

​3.​Starting from rest, a uniform cylindrical wheel (I=M R2) with 1.0 m diameter is rotating under a constant angular acceleration of 3.0 rad/s2.

(a) The magnitude of the centripetal acceleration of a point on the rim of the wheel at t = 4.0 s is ________

(b) If the mass of the wheel is 40.0 kg, its angular momentum at t = 4.0 s is ________

 

 

 

​4.​A 4.0 kg block, lying on a smooth table, is connected to another5.0 kg block by means of a weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table. The system is released from rest at t = 0.

(a) In 0.5s the 5.0 kg block will drop by _______

(b) The tension in the part of the cord connected horizontally to the 4.0 kg block is ________

 

 

 

​5.​A uniform circular wheel (I=M R2) with radius, R=1.0 m and mass, M=50.0 kg is spinning at 120 rev/min. At a particular moment of time (that we denote t=0) the wheel is subjected to a frictional force F= 20.0 N applied tangentially at its rim.

(a) The magnitude of the angular velocity of the wheel (in rad/s) after t=25 s is _______

(b) The number of revolutions done by the wheel after t=10 s is ________

 

* 00
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Name:
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Date:
PHYS-2113 Home Work # 2 Instructor: Dr. Orion Çiftia
Please, fill in the blanks with correct answers. Only the answers count. Keep 2 digits after the
decimal point when rounding numerical values.
Problem
1.
A 8.0 m long, non-uniform beam weighing 750 N, supported by two weightless cables, is at
rest in horizontal position, as shown. The cable on the right has a tension of T=375V3 N.
(a) The location of the center of mass of the beam measured from its left end is
(b) The tension T2 in the other cable is
09
2.
A non-uniform, 2.0 m long ladder weighing 400 N leans against a smooth vertical wall (no
friction). The ladder makes an angle of 30° with the vertical to the ground. The coefficient of static friction at
the ground is 0.3. A child with weight of 300 N can climb the ladder of 1.2 m before it starts to slide down.
(a) The distance of the center of mass of the ladder from the contact point in the ground is
(b) The normal force coming from the smooth vertical wall is
3.
Starting from rest, a uniform cylindrical wheel (I=M R²) with 1.0 m diameter is rotating
under a constant angular acceleration of 3.0 rad/s2.
(a) The magnitude of the centripetal acceleration of a point on the rim of the wheel at t = 4.0 s is
(b) If the mass of the wheel is 40.0 kg, its angular momentum at t =4.0 s is
4.
A 4.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a
weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed
at the edge of the table. The system is released from rest at t= 0.
(a) In 0.5s the 5.0 kg block will drop by
(b) The tension in the part of the cord connected horizontally to the 4.0 kg block is
5.
A uniform circular wheel (I=M R2) with radius, R=1.0 m and mass, M-50.0 kg is spinning at
120 rev/min. At a particular moment of time (that we denote t=0) the wheel is subjected'to a frictional force F
= 20.0 N applied tangentially at its rim.
(a) The magnitude of the angular velocity of the wheel (in rad/s) after t-25 s is
(b) The number of revolutions done by the wheel aftert=10 s is
MacBook Air
F2
F4
F5
F8
%23
24
3.
5.
9.
7.
8.
Transcribed Image Text:* 00 Collaborate Insert Table Chart Text Shape Media Comment Name: Class: Date: PHYS-2113 Home Work # 2 Instructor: Dr. Orion Çiftia Please, fill in the blanks with correct answers. Only the answers count. Keep 2 digits after the decimal point when rounding numerical values. Problem 1. A 8.0 m long, non-uniform beam weighing 750 N, supported by two weightless cables, is at rest in horizontal position, as shown. The cable on the right has a tension of T=375V3 N. (a) The location of the center of mass of the beam measured from its left end is (b) The tension T2 in the other cable is 09 2. A non-uniform, 2.0 m long ladder weighing 400 N leans against a smooth vertical wall (no friction). The ladder makes an angle of 30° with the vertical to the ground. The coefficient of static friction at the ground is 0.3. A child with weight of 300 N can climb the ladder of 1.2 m before it starts to slide down. (a) The distance of the center of mass of the ladder from the contact point in the ground is (b) The normal force coming from the smooth vertical wall is 3. Starting from rest, a uniform cylindrical wheel (I=M R²) with 1.0 m diameter is rotating under a constant angular acceleration of 3.0 rad/s2. (a) The magnitude of the centripetal acceleration of a point on the rim of the wheel at t = 4.0 s is (b) If the mass of the wheel is 40.0 kg, its angular momentum at t =4.0 s is 4. A 4.0 kg block, lying on a smooth table, is connected to another 5.0 kg block by means of a weightless cord passing over, without slipping, a cylindrical pulley of 2.0 kg mass and 10.0 cm radius placed at the edge of the table. The system is released from rest at t= 0. (a) In 0.5s the 5.0 kg block will drop by (b) The tension in the part of the cord connected horizontally to the 4.0 kg block is 5. A uniform circular wheel (I=M R2) with radius, R=1.0 m and mass, M-50.0 kg is spinning at 120 rev/min. At a particular moment of time (that we denote t=0) the wheel is subjected'to a frictional force F = 20.0 N applied tangentially at its rim. (a) The magnitude of the angular velocity of the wheel (in rad/s) after t-25 s is (b) The number of revolutions done by the wheel aftert=10 s is MacBook Air F2 F4 F5 F8 %23 24 3. 5. 9. 7. 8.
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