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)
Hướng dẫn Giải bài tập Vật lý 10: Cân bằng của một vật chịu
tác dụng của hai lực và của ba lực không song song (SGK Vật lý
10 trang 99-100)
Bài 1 (trang 99 SGK Vật Lý 10): Phát biểu điều kiện cân bằng của
một vật rắn chịu tác dụng của hai lực.
Lời giải:
Điều kiện cân bằng của một vật chịu tác dụng của hai lực là hai lực đó phải cùng giá,
cùng độ lớn nhưng ngược chiều:
Bài 2 (trang 99 SGK Vật Lý 10): Trọng tâm của một vật là gì? Trình
bày phương pháp xác định trọng tâm của vật phẳng, mỏng bằng
thực nghiệm.
Lời giải:
Trọng tâm của một vật là điểm đặt của trọng lực tác dụng lên vật đó.
Phương pháp xác định trọng tâm của vật phẳng mỏng bằng thực nghiệm:
Buộc dây vào một lỗ nhỏ A ở mép của vật rồi treo vật thẳng đứng. Khi vật nằm cân
bằng, dùng bút đánh dấu phương của sợi dây AA' đi qua vật, trên vật. Tiếp theo, buộc
dây vào một lỗ khác A, vào lỗ B chẳng hạn. Khi vật nằm cân bằng, đánh dâu phương
sợi dây BB' qua vật.
Giao điểm của hai đoạn thẳng đánh dấu trên vật AA' và BB' chính là trọng tâm G của
vật.
Bài 3 (trang 100 SGK Vật Lý 10): Cho biết trọng tâm của một số vật
đồng chất và có dạng hình học đối xứng.
Lời giải:
Đối với những vật phẳng mỏng có dạng hình học đối xứng: hình tròn tam giác đều, hình
vuông, hình chữ nhật thì trọng tâm của vật là tâm đối xứng của vật (tâm hình tròn, giao
điểm các đường phân giác, giao điểm hai đường chéo…).
Bài 4 (trang 100 SGK Vật Lý 10): Phát biểu quy tắc tổng hợp hai lực
đồng quy.
Lời giải:
Quy tắc tổng hợp hai lực có giá đồng quy:
- Trượt hai vecto lực đó trên giá của chúng đến điểm đồng quy.
- Áp dụng quy tắc hình bình hành để tìm hợp lực.
Bài 5 (trang 100 SGK Vật Lý 10): Điều kiện cân bằng của một vật
chịu tác dụng của ba lực không song song là gì?
Lời giải:
Điều kiện cân bằng của một vật chịu tác dụng của ba lực không song song là:
- Ba lực đó phải có giá đồng phẳng và đồng qui.
- Hợp lực của hai lực phải cân bằng với lực thứ ba:
Bài 6 (trang 100 SGK Vật Lý 10): Một vật có khối lượng m = 2 kg
được giữ yên trên một mặt phẳng nghiêng bởi một sợi dây song song
với đường dốc chính (Hình 17.9).
Biết góc nghiêng α = 30o, g = 9,8 m/s2 và ma sát là không đáng kể. Hãy xác định: