1. A ladder 7.50 m long is leaning against a smooth (frictionless) wall at a point 7.0 m above the ground. The ladder weighs 200 N and an 800-N painter stands two thirds of the way up the ladder. What frictional force must act on the bottom of the ladder to prevent it from slipping for the painter to be safe? 2. You hang an object by means of a vertical string. Two strings in turn support this string. String 1 and string 2 make 20o and 60o with the horizontal beam, respectively. Find the tensions in the strings if the mass of the object is 75.0 kg. 3. A 15-kg uniform beam is 3.0 m long and is pivoted 1.0 m from the left end. A 35 kg child sits on the left end of the beam 0.60 m from the pivot. How far from the pivot must a 20 kg child sit in order for the beam to be in equilibrium? 4. The diagram below shows a horizontal beam of negligible mass. The wall exerts a 42.0 N horizontal force on the lever. Find the mass of the load.
1. A ladder 7.50 m long is leaning against a smooth (frictionless) wall at a point 7.0 m
above the ground. The ladder weighs 200 N and an 800-N painter stands two thirds of
the way up the ladder. What frictional force must act on the bottom of the ladder to
prevent it from slipping for the painter to be safe?
2. You hang an object by means of a vertical string. Two strings in turn support this string.
String 1 and string 2 make 20o and 60o with the horizontal beam, respectively. Find the
tensions in the strings if the mass of the object is 75.0 kg.
3. A 15-kg uniform beam is 3.0 m long and is pivoted 1.0 m from the left end. A 35 kg
child sits on the left end of the beam 0.60 m from the pivot. How far from the pivot must
a 20 kg child sit in order for the beam to be in equilibrium?
4. The diagram below shows a horizontal beam of negligible mass. The wall exerts a 42.0
N horizontal force on the lever. Find the mass of the load.
![ACTIVITY 3: PROBLEM SET
Directions: Salve the following problems. Show your complete solutions including the free
body diagrams (FBD). Express your final answers in two decimal places.
1. A ladder 7.50 m long is leaning against a smooth (frcionless) wall at a point 7.0 m
above the ground. The ladder weighs 200 N and an 800-N painter stands two thirds of
the way up the ladder. What frictional force must act on the bottom of the ladder to
prevent it from slipping for the painter to be safe?
2. You hang an object by means of a vertical string. Two strings in turn support this string.
String 1 and string 2 make 20° and 60° with the horizontal beam, respectively. Find the
tensions in the strings if the mass of the object is 75.0 kg.
3. A 15-kg uniform beam is 3.0 m long and is pivoted 1.0 m from the left end. A 35 kg
child sits on the left end of the beam 0.60 m from the pivot. How far from the pivot must
a 20 kg child sit in order for the beam to be in equilibrium?
4. The diagram below shows a horizontal beam of negligible mass. The wall exerts a 42.0
N horizontal force on the lever. Find the mass of the load.
string
28.00
1.30 m
load
1,80 m](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7162206a-dc8a-441f-901a-e66c78014ca0%2F8fdd8cad-ce9a-4956-adfd-78ee006e4628%2F10utxb_processed.png&w=3840&q=75)
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